A269149 Number of nX5 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three exactly once.

432, 46464, 3277728, 208984848, 12637025328, 738478504448, 42119837369168, 2359047063894464, 130272136732736736, 7113223023541150960, 384838349955877213536, 20661359894841380480272, 1102107089173705118234384

Offset

1,1

Comments

Column 5 of A269152.

Links

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

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

Adjacent sequences: A269146 A269147 A269148 * A269150 A269151 A269152

Keyword

nonn

Author

R. H. Hardin, Feb 20 2016

Status

approved