A278002 Number of nX4 0..2 arrays with every element plus 1 mod 3 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero.

0, 364, 16583, 912870, 49996267, 2732579072, 149393609720, 8167589147618, 446532771770396, 24412539503593284, 1334666071003250780, 72967971344442853125, 3989256160347007231716, 218097946623385555664701

Offset

1,2

Comments

Column 4 of A278006.

Links

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

Formula

Empirical: a(n) = 54*a(n-1) +54*a(n-2) -35*a(n-3) -50267*a(n-4) +7689*a(n-5) +722984*a(n-6) +16611930*a(n-7) -38867650*a(n-8) -203665870*a(n-9) -2178159552*a(n-10) +10904189241*a(n-11) +9521500912*a(n-12) +96247621374*a(n-13) -832529921736*a(n-14) +783846391578*a(n-15) -638308123090*a(n-16) +4207165387192*a(n-17) +15167623043434*a(n-18) -3239085455407*a(n-19) -216159459266853*a(n-20) +456210881272341*a(n-21) -489766379354346*a(n-22) +846280537764428*a(n-23) -1750328153951862*a(n-24) +3241846743632086*a(n-25) -4497705996178152*a(n-26) +3727531103245940*a(n-27) -2373760416573904*a(n-28) +1902940444911280*a(n-29) -947424490114208*a(n-30) -71651096569408*a(n-31) -46956457506944*a(n-32) +303088835011584*a(n-33) +18719597554176*a(n-34) -43380542306304*a(n-35) -49931254480896*a(n-36) +10781387587584*a(n-37) +10151390085120*a(n-38)

Example

Some solutions for n=3
..0..2..1..0. .0..1..0..2. .0..2..2..2. .0..0..0..1. .0..0..2..1
..1..2..1..1. .1..2..1..2. .1..2..0..2. .1..2..2..2. .1..2..0..2
..0..1..0..2. .1..1..0..2. .0..1..0..2. .1..1..1..0. .1..0..1..1

Crossrefs

Cf. A278006.

Sequence in context: A115191 A175114 A022045 * A329187 A107509 A140935

Adjacent sequences: A277999 A278000 A278001 * A278003 A278004 A278005

Keyword

nonn

Author

R. H. Hardin, Nov 08 2016

Status

approved