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A269149
Number of nX5 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three exactly once.
1
432, 46464, 3277728, 208984848, 12637025328, 738478504448, 42119837369168, 2359047063894464, 130272136732736736, 7113223023541150960, 384838349955877213536, 20661359894841380480272, 1102107089173705118234384
OFFSET
1,1
COMMENTS
Column 5 of A269152.
LINKS
FORMULA
Empirical: a(n) = 134*a(n-1) -6403*a(n-2) +137212*a(n-3) -1537987*a(n-4) +10006762*a(n-5) -41364815*a(n-6) +107588656*a(n-7) -111196320*a(n-8) -399050332*a(n-9) +2108507944*a(n-10) -4098003684*a(n-11) +445179883*a(n-12) +18009896226*a(n-13) -42207232033*a(n-14) +12581717548*a(n-15) +122544940860*a(n-16) -203283873760*a(n-17) -79843687188*a(n-18) +508551706160*a(n-19) -240288894385*a(n-20) -648319426210*a(n-21) +662670918703*a(n-22) +480938145704*a(n-23) -858808887300*a(n-24) -176689259732*a(n-25) +734283407564*a(n-26) -39751157620*a(n-27) -450104705459*a(n-28) +101139044518*a(n-29) +200718146529*a(n-30) -72282159428*a(n-31) -63674380919*a(n-32) +31546829386*a(n-33) +13183985923*a(n-34) -9057688788*a(n-35) -1275648164*a(n-36) +1571020336*a(n-37) -67398016*a(n-38) -125671104*a(n-39) +17151168*a(n-40) +3564288*a(n-41) -665856*a(n-42) for n>45
EXAMPLE
Some solutions for n=2
..3..2..3..0..0. .1..3..0..1..0. .1..1..0..2..2. .2..2..0..3..3
..3..2..2..2..0. .1..1..0..1..0. .0..2..2..2..0. .2..2..2..3..1
CROSSREFS
Cf. A269152.
Sequence in context: A290180 A281986 A299861 * A113921 A269211 A269094
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 20 2016
STATUS
approved