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n=3:a（n）=a（n-1）+3*a（n-2）-3*a（n-3）-3*a（n-4）+3*a（n-5）+a（n-6）-a（n-7）；也是三次多项式加a伪多项式拟多项式2度，周期2

n=4:[阶14；也是5次多项式加a伪多项式拟多项式2度，周期6]

n=5:[阶25；也是5次多项式加a伪多项式拟多项式4度，周期12]

经核准的

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经核准的

R.H.Hardin，<a href=“/A250646型/b250646.txt“>n表，n=1..267时为a（n）</a>

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T（n，k）=长度为n+1 0..k的阵列的数量，每个相邻对的最大值之和乘以+-1的某个排列等于零

1, 1, 6, 1, 17, 6, 1, 36, 23, 20, 1, 65, 44, 125, 28, 1, 106, 89, 476, 280, 72, 1, 161, 134, 1293, 1424, 1061, 120, 1, 232, 219, 2954, 4853, 7696, 2870, 272, 1, 321, 296, 5901, 12473, 34441, 28238, 9495, 496, 1, 430, 433, 10766, 28379, 120114, 163043, 126482

1,3

表格开始

……1………1…………1…………1…………1………1

......6........17...........36............65.............106.............161

......6........23...........44............89.............134.............219

.....20.......125..........476..........1293............2954............5901

.....28.......280.........1424..........4853...........12473...........28379

.....72......1061.........7696.........34441..........120114..........332827

....120......2870........28238........163043..........677505.........2225195

....272......9495.......126482........915663.........4749950........18399217

....496.....27507.......491943.......4537317........28200435.......129137886

...1056.....86149......2059700......23671551.......177863786.......953809557

...2016....255704......8161068.....118358549......1063874048......6704767056

...4160....782393.....33268124.....601565301......6491819162.....47777146765

...8128...2341381....132637221....3011330309.....38892883673....335147823244

..16512...7090347....534771362...15155615651....234724691398...2360792885729

..32640..21271463...2136620867...75845220727...1407192408230..16540740396740

..65792..64109181..8574987528..380253505733..8460554956974.116054610957529

.130816.192439733..34285733053.1902264449049..50741165814612.812699929957712

.262656.578665211.137334914170.9522274036139.304671802762820

k列的经验值：

k=1:a（n）=2*a（n-1）+2*a（n-2）-4*a（n-3）

k=2:[顺序10]

k=3:n>25时[订单24]

第n行的经验值：

n=1:a（n）=a（n-1）

n=2:a（n）=（1/3）*n^3+2*n^2+（8/3）*n+1

n=3:a（n）=a（n-1）+3*a（n-2）-3*a（n-3）-3*a（n-4）+3*a（n-5）+a（n-6）-a（n-7）；也是一个三次多项式加上一个周期为2的二次伪多项式

n=4:[阶14；也是一个5次多项式加上一个带周期6的2次伪多项式]

n=5:[第25阶；也是一个5次多项式加上一个带周期12的4次伪多项式]

n=5k=4的一些解

..4....2....1....4....0....1....1....2....0....2....1....2....2....4....4....3

..1....1....1....1....2....2....0....2....0....1....0....1....2....0....1....3

..1....0....1....1....2....0....0....1....1....0....2....0....2....2....0....1

..0....1....0....0....0....0....1....1....2....4....3....4....1....3....2....2

..1....1....1....3....1....4....3....0....1....3....3....3....1....0....1....4

..3....0....4....3....3....3....3....0....0....2....0....3....3....2....0....4

第1列是A113979号（n+2）

第2行是A084990号（n+1）

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非n,表

R.H.哈丁2014年11月26日

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