登录

年度呼吁:请向OEIS基金会捐款支持OEIS的持续开发和维护。现在是我们的第61年,我们有超过378000个序列,我们已经被引用了11000次(通常说“多亏了OEIS才被发现”)。

A253397号
T(n,k)=每2X2个子块反对角线最大值减去对角线最小值且水平不减,对角最大值减去反对角化最小值且垂直不减的(n+1)X(k+1)0..1数组的数目
8
16, 44, 44, 96, 102, 96, 180, 143, 143, 180, 304, 197, 174, 197, 304, 476, 250, 246, 246, 250, 476, 704, 320, 316, 346, 316, 320, 704, 996, 391, 419, 465, 465, 419, 391, 996, 1360, 477, 520, 632, 666, 632, 520, 477, 1360, 1804, 564, 651, 823, 932, 932, 823, 651
抵消
1,1
评论
表格开始
...16..44..96..180..304..476..704...996..1360..1804..2336..2964..3696..4540
...44.102.143..197..250..320..391...477...564...666...769...887..1006..1140
...96.143.174..246..316..419..520...651...780...939..1096..1283..1468..1683
..180.197.246..346..465..632..823..1071..1351..1695..2079..2535..3039..3623
..304.250.316..465..666..932.1269..1693..2201..2814..3527..4360..5309..6394
..476.320.419..632..932.1318.1855..2528..3408..4498..5864..7521..9542.11949
..704.391.520..823.1269.1855.2726..3810..5311..7163..9569.12493.16140.20493
..996.477.651.1071.1693.2528.3810..5396..7717.10593.14543.19463.25921.33918
.1360.564.780.1351.2201.3408.5311..7717.11392.15966.22500.30675.41701.55452
.1804.666.939.1695.2814.4498.7163.10593.15966.22634.32533.44959.62402.84560
链接
配方奶粉
k列的经验值:
k=1:a(n)=(4/3)*n^3+4*n^2+(20/3)*n+4
k=2:a(n)=2*a(n-1)-2*a(n-3)+a(n-4),对于n>8
k=3:a(n)=2*a(n-1)-2*a(n-3)+a(n-4),对于n>8
k=4:a(n)=3*a(n-1)-2*a(n-2)-2*a(n-3)+3*a(n-4)-a(n-5)对于n>11
k=5:a(n)=3*a(n-1)-2*a(n-2)-2*a(n-3)+3*a(n-4)-a(n-5)对于n>13
k=6:当n>16时,a(n)=4*a(n-1)-5*a(n-2)+5*a(-n4)-4*a(n5)+a(n-6)
k=7:a(n)=4*a(n-1)-5*a(n-2)+5*a(-n4)-4*a(n5)+a(n-6),对于n>18
k列的经验拟多项式:
k=2:对于n>4,2次多项式加上周期为2的0次拟多项式
k=3:对于n>4,2次多项式加上周期为2的0次拟多项式
k=4:对于n>6,3次多项式加上周期为2的0次拟多项式
k=5:对于n>8,3次多项式加上周期为2的0次拟多项式
k=6:对于n>10,4次多项式加上周期为2的0次拟多项式
k=7:对于n>12,4次多项式加上周期为2的0次拟多项式
例子
n=4k=4的一些解
..1..1..1..1..1....0..0..0..0..0....0..0..0..1..1....0..1..0..1..1
..1..1..1..1..1....0..0..0..0..1....0..0..0..0..0....1..1..0..0..0
..1..1..1..1..1....0..0..0..0..1....0..0..0..0..1....1..1..1..1..1
..1..1..1..1..0....0..0..0..0..1....0..0..1..0..1....1..0..0..0..0
..0..1..1..1..1....0..0..0..0..1....1..0..1..0..1....1..1..1..1..1
关键词
非n,
作者
R.H.哈丁2014年12月31日
状态
经核准的