A183661 Number of (n+1) X 9 0..5 arrays with every 2 X 2 subblock summing to 10.

14548626, 25308786, 52793406, 127755066, 346364046, 1026028506, 3266060526, 11040871386, 39282132366, 146059009626, 564356384046, 2255739782106, 9291890875086, 39321611245146, 170491862841966, 755627713355226, 3416247846280206, 15726340321983066, 73590518529722286, 349530179260918746

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 + 2550*5^n + 74640*4^n + 669870*3^n + 2897040*2^n + 6433590. - Christian Krause, Jun 14 2026

Example

Some solutions for 3X9
..3..0..3..0..1..4..1..3..2....3..0..3..0..3..1..2..2..3
..3..4..3..4..5..0..5..1..4....3..4..3..4..3..3..4..2..3
..3..0..3..0..1..4..1..3..2....3..0..3..0..3..1..2..2..3

Mathematica

A183661[n_] := 6*6^n + 2550*5^n + 74640*4^n + 669870*3^n + 2897040*2^n + 6433590;
Array[A183661, 25] (* Paolo Xausa, Jun 15 2026 *)

Crossrefs

Column 8 of A183662.

Sequence in context: A136608 A205413 A186067 * A352424 A267361 A015364

Adjacent sequences: A183658 A183659 A183660 * A183662 A183663 A183664

Keyword

nonn,easy,changed

Author

R. H. Hardin, Jan 06 2011

Extensions

a(6)-a(20) from Christian Krause, Jun 14 2026

Status

approved