A183660 Number of (n+1) X 8 0..5 arrays with every 2 X 2 subblock summing to 10.

2605574, 4934070, 11196842, 29275086, 85187834, 269462670, 912048122, 3266060526, 12268395194, 48016977870, 194772622202, 815281877166, 3508971594554, 15482265782670, 69847698073082, 321488182545006, 1506721094697914, 7178392437173070, 34715459400944762, 170213275101824046

Offset

1,1

Links

Paolo Xausa, Table of n, a(n) for n = 1..1000

Christian Krause, Proof of formula, Jun 14 2026.

Index entries for linear recurrences with constant coefficients, signature (21,-175,735,-1624,1764,-720).

Formula

a(n) = 6*6^n + 1270*5^n + 24200*4^n + 158010*3^n + 532228*2^n + 963902. - Christian Krause, Jun 14 2026

Example

Some solutions for 3X8
..3..3..3..4..2..2..2..2....3..1..0..2..2..3..4..4....0..4..3..5..0..5..2..5
..3..1..3..0..4..2..4..2....1..5..4..4..2..3..0..2....3..3..0..2..3..2..1..2
..5..1..5..2..4..0..4..0....3..1..0..2..2..3..4..4....2..2..5..3..2..3..4..3

Mathematica

A183660[n_] := 6*6^n + 1270*5^n + 24200*4^n + 158010*3^n + 532228*2^n + 963902;
Array[A183660, 25] (* Paolo Xausa, Jun 15 2026 *)

Crossrefs

Column 7 of A183662.

Sequence in context: A269281 A186588 A204882 * A004674 A123155 A251036

Adjacent sequences: A183657 A183658 A183659 * A183661 A183662 A183663

Keyword

nonn,easy,changed

Author

R. H. Hardin, Jan 06 2011

Extensions

a(7)-a(20) from Christian Krause, Jun 14 2026

Status

approved