A266014 Number of 4Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself.

1, 1, 14, 9, 27, 61, 75, 281, 697, 1182, 3379, 8083, 17008, 44193, 103747, 232714, 571581, 1342911, 3114718, 7472335, 17554474, 41147561, 97770072, 230189903, 541916214, 1282131187, 3021086562, 7122374217, 16823787888, 39666365638

Offset

1,3

Comments

Row 4 of A266012.

Links

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

Formula

Empirical: a(n) = 7*a(n-3) +a(n-4) +14*a(n-5) +31*a(n-6) +28*a(n-7) +17*a(n-8) -69*a(n-9) +124*a(n-10) -41*a(n-11) -174*a(n-12) -347*a(n-13) -293*a(n-14) +611*a(n-15) -1613*a(n-16) -496*a(n-17) -15*a(n-18) +1102*a(n-19) +2041*a(n-20) -4267*a(n-21) +7710*a(n-22) +4851*a(n-23) +741*a(n-24) +945*a(n-25) -5239*a(n-26) +16978*a(n-27) -16478*a(n-28) -21208*a(n-29) +4426*a(n-30) -7104*a(n-31) +466*a(n-32) -37612*a(n-33) +11472*a(n-34) +49808*a(n-35) -12912*a(n-36) +1664*a(n-37) +14944*a(n-38) +28288*a(n-39) +1536*a(n-40) -45056*a(n-41) +20480*a(n-42) +12288*a(n-43) -22528*a(n-44) for n>53

Example

Some solutions for n=4
..0..1..2..2....1..1..2..2....0..2..2..0....0..2..2..1....0..2..2..0
..1..2..2..0....0..2..2..0....2..2..1..1....2..2..1..0....2..2..1..0
..1..1..2..2....1..1..2..2....0..2..2..1....0..2..2..0....0..1..2..2
..0..2..2..0....0..2..2..0....2..2..1..0....2..2..1..1....0..2..2..0

Crossrefs

Cf. A266012.

Sequence in context: A035418 A070602 A206641 * A086050 A128486 A147370

Adjacent sequences: A266011 A266012 A266013 * A266015 A266016 A266017

Keyword

nonn

Author

R. H. Hardin, Dec 20 2015

Status

approved