A257015 Number of (n+2)X(2+2) 0..2 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum

311364, 14776336, 717382656, 34828517376, 1679616000000, 81000000000000, 3914754624000000, 189201281063325696, 9137230462068166656, 441270693558373257216, 21316458288287242358784, 1029733903904001158025216

Offset

1,1

Comments

Column 2 of A257017

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 57*a(n-1) -1368*a(n-2) +53928*a(n-3) -266760*a(n-4) -7303608*a(n-5) +214125120*a(n-6) -8896319424*a(n-7) +57672414720*a(n-8) +432546283008*a(n-9) -7633921904640*a(n-10) +215054243426304*a(n-11) -1510880432947200*a(n-12) -2386109465100288*a(n-13) +52716443900313600*a(n-14) -1103770884016963584*a(n-15) +8001130220255969280*a(n-16) -9600072345842614272*a(n-17) -23147623339744296960*a(n-18) +857994776901995986944*a(n-19) -6381793763148001443840*a(n-20) +6441531921466530988032*a(n-21) +18379960457618553569280*a(n-22) -154486328584550108626944*a(n-23) +996588276555235014475776*a(n-24) -654295038711035754184704*a(n-25) -5234360309688286033477632*a(n-26) +6979147079584381377970176*a(n-27)

Example

Some solutions for n=1
..0..2..2..0....0..1..1..0....0..0..1..2....0..1..2..2....0..1..1..1
..1..0..1..0....1..1..2..0....2..0..2..1....1..1..0..2....2..0..0..0
..1..1..1..2....0..2..2..2....0..0..0..1....2..2..2..0....2..2..0..1

Crossrefs

Cf. A257017

Sequence in context: A127491 A205204 A205062 * A237566 A224631 A180461

Adjacent sequences: A257012 A257013 A257014 * A257016 A257017 A257018

Keyword

nonn

Author

R. H. Hardin, Apr 14 2015

Status

approved