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(来自的问候整数序列在线百科全书!)
A250387型 T(n,k)=长度为n+3 0..k的数组的数量,没有四个连续项,任何两个项的最大值等于其余两个项中的最小值 13
6, 42, 6, 156, 78, 6, 420, 432, 146, 6, 930, 1560, 1208, 274, 6, 1806, 4350, 5848, 3384, 514, 6, 3192, 10206, 20518, 21950, 9480, 966, 6, 5256, 21168, 58114, 96866, 82398, 26578, 1816, 6, 8190, 40032, 141344, 331128, 457366, 309452, 74528, 3414, 6, 12210 (列表;桌子;图表;参考文献;;历史;文本;内部格式)
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表格开始
.6....42.....156......420........930........1806........3192.........5256
.6....78.....432.....1560.......4350.......10206.......21168........40032
.6...146....1208.....5848......20518.......58114......141344.......306816
.6...274....3384....21950......96866......331128......944272......2352468
.6...514....9480....82398.....457366.....1886948.....6308960.....18038628
.6...966...26578...309452....2160160....10755158....42158796....138336744
.6..1816...74528..1162292...10203222....61304844...281731072...1060924200
.6..3414..208998..4365720...48194820...349446100..1882722300...8136444312
.6..6418..586102.16398414..227649458..1991900312.12581692558..62400176438
.6.12066.1643650.61595866.10753113211354195442.84080003928.478561255176
链接
公式
k列的经验值,明显重复出现7*k-4级:
k=1:a(n)=a(n-1)
k=2:a(n)=a(n-1)+2*a(n-2)-a(n-3)+3*a(n-4)-a
k=3:[顺序17]
k=4:[订单24]
k=5:[订单31]
k=6:[订单38]
k=7:[订单45]
第n行的经验值,显然是n+3次多项式:
n=1:a(n)=n^4+2*n^3+2*n^2+n
n=2:a(n)=n^5+(3/2)*n^4+2*n^3+(3/2
n=3:a(n)=n^6+(16/15)*n^5+(13/6)*n*4+(5/3)*n|3-(1/6)*n$2+(4/15)*n
n=4:[七次多项式]
n=5:[八次多项式]
n=6:[九次多项式]
n=7:[10次多项式]
例子
n=4k=4的一些解
..3....4....1....4....0....4....2....1....1....1....0....0....1....3....4....0
..2....2....2....2....1....0....3....2....4....3....1....0....1....0....0....3
..3....3....0....4....2....2....4....3....3....2....3....3....0....3....4....0
..1....1....0....2....3....1....0....0....2....4....2....2....0....0....0....2
..3....0....4....3....4....4....4....1....4....1....3....1....1....4....2....1
..0....4....4....2....4....0....1....0....4....4....0....3....2....0....3....4
..4….2….2….3….2….3….0….2….3….0….0….4….2….1….0….1
交叉参考
第1行为A082986号
关键词
非n,
作者
R.H.哈丁2014年11月20日
状态
经核准的

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