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A322013 Square array A(n,k), n >= 1, k >= 1, read by antidiagonals, where A(n,k) is the number of permutations of n copies of 1..k introduced in order 1..k with no element equal to another within a distance of 1. 9
1, 1, 0, 1, 1, 0, 1, 5, 1, 0, 1, 36, 29, 1, 0, 1, 329, 1721, 182, 1, 0, 1, 3655, 163386, 94376, 1198, 1, 0, 1, 47844, 22831355, 98371884, 5609649, 8142, 1, 0, 1, 721315, 4420321081, 182502973885, 66218360625, 351574834, 56620, 1, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

LINKS

Seiichi Manyama, Antidiagonals n = 1..53, flattened

EXAMPLE

Square array begins:

   1, 1,     1,         1,              1,                    1, ...

   0, 1,     5,        36,            329,                 3655, ...

   0, 1,    29,      1721,         163386,             22831355, ...

   0, 1,   182,     94376,       98371884,         182502973885, ...

   0, 1,  1198,   5609649,    66218360625,     1681287695542855, ...

   0, 1,  8142, 351574834, 47940557125969, 16985819072511102549, ...

CROSSREFS

Columns k=2..10 give A000012, A190917, A190918, A190920, A190923, A190927, A190932, A321987, A322061.

Rows n=1..10 give A000012, A278990, A190826, A190830, A190833, A190835, A190836, A190837, A321669, A321670.

Main diagonal gives A321666.

Sequence in context: A157012 A102365 A269945 * A102259 A021200 A265301

Adjacent sequences:  A322010 A322011 A322012 * A322014 A322015 A322016

KEYWORD

nonn,tabl

AUTHOR

Seiichi Manyama, Nov 24 2018

STATUS

approved

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Last modified September 25 12:57 EDT 2021. Contains 347654 sequences. (Running on oeis4.)