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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 1
11532, 179776, 2826448, 44622400, 702129040, 11033401600, 173567878848, 2731694950656, 42976225312800, 676001664001024, 10634867325402176, 167319376216735744, 2632295463756056256, 41410572963289629696 (list; graph; refs; listen; history; text; internal format)
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 * A063061 A237304 A292039

Adjacent sequences:  A258558 A258559 A258560 * A258562 A258563 A258564

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 03 2015

STATUS

approved

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Last modified September 20 14:44 EDT 2021. Contains 347586 sequences. (Running on oeis4.)