A258561 Number of (n+2)X(1+2) 0..2 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum equal to the central column sum

11532, 179776, 2826448, 44622400, 702129040, 11033401600, 173567878848, 2731694950656, 42976225312800, 676001664001024, 10634867325402176, 167319376216735744, 2632295463756056256, 41410572963289629696

Offset

1,1

Comments

Column 1 of A258564

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +1100*a(n-3) +12006*a(n-4) +49418*a(n-5) +275780*a(n-6) +1112580*a(n-7) +8335952*a(n-8) +13774376*a(n-9) +89252400*a(n-10) -963535920*a(n-11) -16902763680*a(n-12) -18723801600*a(n-13) +230364641280*a(n-14) +297741636480*a(n-15) -3123053432064*a(n-16) -6547113510912*a(n-17) +12428432363520*a(n-18) +82990982246400*a(n-19) +471394004557824*a(n-20) +651326858330112*a(n-21) -707414238167040*a(n-22) -715768694046720*a(n-23) +6527928854642688*a(n-24) +28138279412957184*a(n-25) +39222937387008000*a(n-26) -56776346503741440*a(n-27) -657089355998822400*a(n-28) -810802261839052800*a(n-29) -1209088994181120000*a(n-30) -2826994987302912000*a(n-31) -1546598932807680000*a(n-32) -9591392116408320000*a(n-33) -10019299708108800000*a(n-35) +50096498540544000000*a(n-36)

Example

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

Crossrefs

Cf. A258564

Sequence in context: A236522 A235659 A258564 * A362216 A063061 A237304

Adjacent sequences: A258558 A258559 A258560 * A258562 A258563 A258564

Keyword

nonn

Author

R. H. Hardin, Jun 03 2015

Status

approved