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A200871号 |
| T(n,k)=0..k数组的数量x(0..n+1)个n+2元素,没有任何内部元素大于或小于两个相邻元素 |
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13
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6, 17, 10, 36, 37, 16, 65, 94, 77, 26, 106, 195, 236, 163, 42, 161, 356, 567, 602, 343, 68, 232, 595, 1168, 1673, 1528, 723, 110, 321, 932, 2163, 3886, 4917, 3882, 1523, 178, 430, 1389, 3704, 7973, 12890, 14455, 9858, 3209, 288, 561, 1990, 5973, 14932, 29325
(列表;桌子;图表;参考;听;历史;文本;内部格式)
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抵消
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1,1
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评论
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表格开始
...6....17.....36......65.....106......161......232.......321.......430
..10....37.....94.....195.....356......595......932......1389......1990
..16....77....236.....567....1168.....2163.....3704......5973......9184
..26...163....602....1673....3886.....7973....14932.....26073.....43066
..42...343...1528....4917...12890....29325....60112....113745....201994
..68...723...3882...14455...42744...107777...241718....495495....945790
.110..1523...9858...42479..141688...395929...971416...2156867...4424298
.178..3209..25038..124851..469726..1454643..3904290...9389377..20696974
.288..6761..63592..366959.1557320..5344795.15693816..40880321..96838448
.466.14245.161514.1078565.5163158.19638715.63085186.177996275.453123270
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链接
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配方奶粉
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柱经验值:
k=1:a(n)=a(n-1)+a(n-2)
k=2:a(n)=2*a(n-1)+a(n-4)
k=3:a(n)=2*a(n-1)+a(n-2)+2*a(n-4)+a(n-5)
k=4:a(n)=3*a(n-1)-a(n-2)+a(n-3)+4*a(n-4)+a
k=5:a(n)=3*a(n-1)+a(n-3)+7*a
k=6:a(n)=4*a(n-1)-3*a(n-2)+4*a
k=7:a(n)=4*a(n-1)-2*a(n-2)+4*a(n-3)+15*a(ns-4)+6*a(nh-5)+12*a(nm-6)+16*a(-n-7)+7*a(n-8)+5*a(nn-9)+4*a(n-10)+a(n-11)
行的经验:
n=1:a(k)=(1/3)*k^3+2*k^2+(8/3)*k+1
n=2:a(k)=(1/12)*k^4+(3/2)*k^3+(47/12)*k*2+(7/2)*k+1
n=3:a(k)=(1/60)*k^5+(3/4)*k*4+(15/4)*k^3+(25/4)*k^2+(127/30)*k+1
n=4:a(k)=(1/360)*k^6+(7/24)*k*5+(197/72)*k_4+(185/24)*k_3+(1667/180)*k_2+5*k+1
n=5:a(k)=(1/2520)*k^7+(17/180)*k*6+(281/180)*k^5+(64/9)*k_4+(4927/360)*k_3+(2303/180)*k_2+(604/105)*k+1
n=6:a(k)=(1/20160)*k^8+(19/720)*k*7+(211/288)*k_6+(1889/360)*k~5+(44167/2880)*k~4+(15991/720)*k^3+(5689/336)*k~2+(391/60)*k+1
n=7:a(k)=(1/181440)*k^9+(131/20160)*k*8+(8893/30240)*k|7+(4621/1440)*k^6+(118933/8640)*k ^5+(83957/2880)*k
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例子
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n=4 k=3的一些解
..3....2....0....0....2....0....1....0....0....2....3....3....1....1....1....3
..2....2....0....2....0....2....2....2....0....3....1....3....2....1....2....3
..2....1....3....3....0....2....2....2....0....3....0....3....2....2....2....3
..2....0....3....3....3....0....1....0....2....3....0....2....2....2....0....2
..2....0....0....1....3....0....1....0....2....3....0....2....2....2....0....2
..3....2....0....1....1....0....2....3....3....2....2....1....3....2....0....0
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数学
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t[0,k_,x_,y]:=1;t[n_,k_,x_,y]:=t[n,k,x,y]=和[如果[z<=x<=y|y<=x=z,t[n-1,k,z,x],0],{z,k+1}];t[n_,k_]:=总和[t[n,k,x,y],{x,k+1},{y,k+1}];表窗体@表[t[n,k],{n,8},{k,8}](*乔瓦尼·雷斯塔2014年3月5日*)
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交叉参考
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关键词
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作者
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状态
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经核准的
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