显示找到的13个结果中的1-10个。
n X n 0..1个对称数组的数量,每行求和到楼层(n/2)。
+10 2
1, 1, 2, 4, 18, 112, 1760, 35150, 1944530, 133948836, 26615510712, 6549149852112, 4762109992158288, 4274712091685443584, 11528251571501588791296, 38295413179145036856212700, 386860001875783390762182911250, 4805622573099374975572752075805000
例子
n=4的一些解
..1..1..0..0....0..0..1..1....0..1..1..0....1..0..1..0....0..1..1..0
..1..0..1..0....0..0..1..1....1..0..0..1....0..0..1..1....1..1..0..0
..0..1..0..1....1..1..0..0....1..0..0..1....1..1..0..0....1..0..0..1
..0..0..1..1....1..1..0..0....0..1..1..0....0..1..0..1....0..0..1..1
所有行累加到地板上的3 X 3 0..n对称阵列的数量(n*3/2)。
+10 1
4, 13, 29, 57, 96, 153, 226, 323, 440, 587, 759, 967, 1204, 1483, 1796, 2157, 2556, 3009, 3505, 4061, 4664, 5333, 6054, 6847, 7696, 8623, 9611, 10683, 11820, 13047, 14344, 15737, 17204, 18773, 20421, 22177, 24016, 25969, 28010, 30171, 32424, 34803, 37279
配方奶粉
经验:a(n)=2*a(n-1)-2*a(n-3)+2*a(n4)-2*a(n-5)+2*a(n7)-a(n-8)。
经验:G.f.-x*(-4-5*x-3*x^2-7*x^3-x^5-2*x^6+x^7)/((x^2+1)*(1+x)^2*(x-1)^4)-R.J.马塔尔2012年7月4日
a(n)=(14*n^3+42*n^2+53*n+25+3*(n+1)*(-1)^n+2*((-1)-卢斯·埃蒂纳,2014年8月23日
例子
n=4的一些解决方案:
..1..3..2....2..4..0....0..4..2....1..2..3....1..1..4....4..0..2....2..2..2
..3..1..2....4..0..2....4..0..2....2..2..2....1..3..2....0..2..4....2..2..2
..2..2..2....0..2..4....2..2..2....3..2..1....4..2..0....2..4..0....2..2..2
a(2)=5-1=4,a(3)=14-1=13,a(210)=4118206-8269=4109937-卢斯·埃蒂纳2014年8月23日
所有行总和为2*n的4X4 0..n对称阵列的数量
+10 1
18, 169, 880, 3249, 9522, 23753, 52544, 106009, 198770, 351233, 590832, 953625, 1485778, 2245489, 3304704, 4751377, 6691410, 9251257, 12580080, 16852705, 22271986, 29072121, 37521216, 47924969, 60629426, 76025041, 94549616
配方奶粉
经验:a(n)=4*a(n-1)-3*a(n-2)-8*a(n-3)+14*a(n-4)-14*a(n-6)+8*a(n-7)+3*a(n-8)-4*a(n-9)+a(n-10)。
经验:G.f.-x*(18+97*x+258*x^2+380*x^3+266*x^4+86*x^5+22*x^6+4*x^7-4*x^8+x^9)/((1+x)^3*(x-1)^7)-R.J.马塔尔2012年7月4日
例子
n=4的一些解
..2..3..2..1....3..1..1..3....0..1..3..4....2..4..0..2....1..3..1..3
..3..2..0..3....1..4..1..2....1..0..4..3....4..2..2..0....3..4..0..1
..2..0..3..3....1..1..3..3....3..4..1..0....0..2..3..3....1..0..3..4
..1..3..3..1....3..2..3..0....4..3..0..1....2..0..3..3....3..1..4..0
所有行累加到地板上的5 X 5 0..n对称阵列的数量(n*5/2)。
+10 1
112, 5673, 87932, 815263, 4843626, 22698959, 84662388, 275879169, 782758404, 2036181209, 4827542558, 10773876919, 22498928491, 44939366943, 85390966217, 156814686053, 276999175867, 476278194021, 793826178700, 1294496520831
例子
n=4的一些解
..0..0..2..4..4....1..4..0..4..1....1..1..0..4..4....0..3..4..0..3
..0..0..4..2..4....4..4..0..1..1....1..3..1..1..4....3..2..2..1..2
..2..4..1..2..1....0..0..3..3..4....0..1..3..4..2....4..2..2..1..1
..4..2..2..1..1....4..1..3..1..1....4..1..4..1..0....0..1..1..4..4
..4..4..1..1..0....1..1..4..1..3....4..4..2..0..0....3..2..1..4..0
每行加总到楼层的n X n 0..n个对称数组的数量(n^2/2)。
+10 0
1, 1, 3, 29, 3249, 4843626, 138198204339, 87098380004205128, 1525223999399549983474977
例子
n=4的一些解
..4..4..0..0....3..2..1..2....4..2..0..2....1..3..1..3....2..1..3..2
..4..4..0..0....2..1..2..3....2..0..4..2....3..4..0..1....1..4..0..3
..0..0..4..4....1..2..3..2....0..4..1..3....1..0..3..4....3..0..2..3
..0..0..4..4....2..3..2..1....2..2..3..1....3..1..4..0....2..3..3..0
每行求和为n的n X n 0..2个对称数组的数量。
+10 0
1, 1, 3, 13, 169, 5673, 526443, 133721189, 95133854529, 190409704025737, 1081810465812816481, 17533275809917986947451, 814583187343481957681992873, 108889213625061640897043875544377, 42017261328544343771207789776696995237, 46930798910194830781686389018692804741926963
例子
n=4的一些解
..0..2..2..0....2..2..0..0....2..1..0..1....1..1..0..2....1..2..0..1
..2..0..0..2....2..1..1..0....1..1..2..0....1..2..1..0....2..1..0..1
..2..0..1..1....0..1..1..2....0..2..1..1....0..1..1..2....0..0..2..2
..0..2..1..1....0..0..2..2....1..0..1..2....2..0..2..0....1..1..2..0
n X n 0..3个对称数组的数量,每行求和到楼层(n*3/2)。
+10 0
1, 1, 4, 29, 880, 87932, 34725760, 46259653191, 250599609089536, 4664255347861848000, 359514810915617810737152, 96221422835240936091862618254, 107926925135028470351157750883132800, 423270762332675097186733226425581010359872
例子
n=4的一些解
..0..1..2..3....0..1..2..3....3..1..0..2....2..1..1..2....1..3..0..2
..1..0..2..3....1..2..1..2....1..1..2..2....1..2..1..2....3..1..1..1
..2..2..2..0....2..1..2..1....0..2..2..2....1..1..2..2....0..1..2..3
..3..3..0..0....3..2..1..0....2..2..2..0....2..2..2..0....2..1..3..0
每行总和为2*n的n X n 0..4个对称阵列的数量。
+10 0
1, 1, 5, 57, 3249, 815263, 932587453, 4893373431575, 119570350092328225, 13715276642286471266345, 7439775168632414842497242951, 19190656372074846793620422063221831, 236483103820478991417179706813598595965425
例子
n=4的一些解
..3..1..1..3....1..3..4..0....4..0..4..0....2..4..0..2....0..1..4..3
..1..4..1..2....3..3..1..1....0..1..3..4....4..2..2..0....1..3..1..3
..1..1..3..3....4..1..0..3....4..3..0..1....0..2..3..3....4..1..2..1
..3..2..3..0....0..1..3..4....0..4..1..3....2..0..3..3....3..3..1..1
每行加总到楼层的n X n 0..5个对称阵列的数量(n*5/2)
+10 0
1, 6, 96, 9522, 4843626, 13937940952, 212962858290086
例子
n=4的一些解
..1..3..2..4....5..1..0..4....4..1..0..5....5..4..0..1....5..3..1..1
..3..3..1..3....1..5..4..0....1..1..5..3....4..4..0..2....3..3..4..0
..2..1..5..2....0..4..2..4....0..5..3..2....0..0..5..5....1..4..0..5
..4..3..2..1....4..0..4..2....5..3..2..0....1..2..5..2....1..0..5..4
n X n 0..6个对称阵列的数量,每行求和为3*n
+10 0
1, 7, 153, 23753, 22698959, 138198204339
例子
n=4的一些解
..3..1..2..6....0..0..6..6....0..3..3..6....6..6..0..0....3..5..1..3
..1..5..2..4....0..5..1..6....3..4..4..1....6..2..3..1....5..6..0..1
..2..2..6..2....6..1..5..0....3..4..1..4....0..3..3..6....1..0..5..6
..6..4..2..0....6..6..0..0....6..1..4..1....0..1..6..5....3..1..6..2
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