A251234 Number of (n+1) X (6+1) 0..3 arrays with every 2 X 2 subblock summing to 6 and no 2 X 2 subblock having exactly two nonzero entries.

8982, 14786, 26224, 50570, 103926, 225936, 514950, 1222090, 3000620, 7579486, 19600410, 51681580, 138503810, 376340486, 1034918936, 2876538978, 8073696214, 22868351328, 65337863366, 188245777530, 546776950780, 1600766400046

Offset

1,1

Comments

Column 6 of A251236.

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -63*a(n-2) +122*a(n-3) +13*a(n-4) -371*a(n-5) +317*a(n-6) +308*a(n-7) -370*a(n-8) -144*a(n-9) +128*a(n-10) +48*a(n-11).

Example

Some solutions for n=4:
..1..3..0..2..0..3..0....3..1..2..2..3..1..2....3..1..3..1..2..0..3
..1..1..2..2..2..1..2....0..2..1..1..0..2..1....1..1..1..1..2..2..1
..3..1..2..0..2..1..2....2..2..1..3..2..2..1....2..2..2..2..1..1..2
..1..1..2..2..2..1..2....1..1..2..0..1..1..2....2..0..2..0..3..1..2
..2..2..1..1..1..2..1....2..2..1..3..2..2..1....3..1..3..1..2..0..3

Crossrefs

Cf. A251236.

Sequence in context: A234755 A230839 A339348 * A144126 A263062 A215198

Adjacent sequences: A251231 A251232 A251233 * A251235 A251236 A251237

Keyword

nonn

Author

R. H. Hardin, Nov 30 2014

Status

approved