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R. H. Hardin, <a href="/A269149/b269149.txt">Table of n, a(n) for n = 1..210</a>

allocated for R. H. Hardin

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

1,1

Column 5 of A269152.

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

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

Cf. A269152.

allocated

nonn

R. H. Hardin, Feb 20 2016

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allocated for R. H. Hardin

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