A183659 Number of (n+1) X 7 0..5 arrays with every 2 X 2 subblock summing to 10.

473586, 987762, 2458590, 6990906, 21960366, 74549082, 269462670, 1026028506, 4082345646, 16866256602, 71997593550, 316265126106, 1424859212526, 6565594127322, 30870678025230, 147822272927706, 719692814601006, 3557815590145242, 17839083734341710, 90642525907737306, 466398319663711086

Offset

1,1

Links

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

Christian Krause, Proof of formula, Jun 13 2026.

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

Formula

a(n) = 6*6^n + 630*5^n + 7728*4^n + 36414*3^n + 95088*2^n + 140070. - Christian Krause, Jun 13 2026

Example

Some solutions for 3X7
..3..0..4..4..5..3..2....3..0..4..2..5..0..4....0..0..1..4..3..3..4
..2..5..1..1..0..2..3....3..4..2..2..1..4..2....5..5..4..1..2..2..1
..3..0..4..4..5..3..2....2..1..3..3..4..1..3....0..0..1..4..3..3..4

Mathematica

A183659[n_] := 6*6^n + 630*5^n + 7728*4^n + 36414*3^n + 95088*2^n + 140070;
Array[A183659, 25] (* Paolo Xausa, Jun 16 2026 *)

Crossrefs

Column 6 of A183662.

Sequence in context: A190639 A228271 A219996 * A388023 A213994 A391071

Adjacent sequences: A183656 A183657 A183658 * A183660 A183661 A183662

Keyword

nonn,easy,changed

Author

R. H. Hardin, Jan 06 2011

Extensions

a(8)-a(21) from Christian Krause, Jun 13 2026

Status

approved