A251205 Number of (n+1)X(3+1) 0..2 arrays with every 2X2 subblock summing to a nonzero multiple of 2

816, 8870, 102811, 1273440, 16687766, 228610911, 3233921644, 46763019686, 686058347195, 10159339091240, 151334638719070, 2262714878984127, 33910779419590532, 508959584753961006, 7645903821140304043

Offset

1,1

Comments

Column 3 of A251210

Links

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

Formula

Empirical: a(n) = 49*a(n-1) -892*a(n-2) +6678*a(n-3) -4674*a(n-4) -183750*a(n-5) +483153*a(n-6) +2260797*a(n-7) -4216766*a(n-8) -19139302*a(n-9) -11705564*a(n-10) +15064560*a(n-11) +15309504*a(n-12) -790272*a(n-13) -2709504*a(n-14)

Example

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

Crossrefs

Sequence in context: A235976 A015159 A250803 * A064583 A279441 A221748

Adjacent sequences: A251202 A251203 A251204 * A251206 A251207 A251208

Keyword

nonn

Author

R. H. Hardin, Nov 30 2014

Status

approved