A183678 Number of (n+1) X 6 0..7 arrays with every 2 X 2 subblock summing to 14.

631784, 1931680, 7003928, 28648864, 128141624, 614337760, 3113953688, 16524269344, 91125609464, 519292159840, 3044433775448, 18296914577824, 112399705496504, 704088065213920, 4488414956029208, 29068948890678304, 190990901825402744, 1271484053965180000, 8567774451348234968

Offset

1,1

Links

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

Christian Krause, Proof of formula, Jun 13 2026

Formula

a(n) = 8*8^n + 434*7^n + 3612*6^n + 13510*5^n + 32648*4^n + 58506*3^n + 79924*2^n + 73502. - Christian Krause, Jun 13 2026

Example

Some solutions for 3 X 6:
..6..2..4..0..7..4....2..0..6..4..1..5....2..0..6..6..6..3....4..3..0..4..2..4
..2..4..4..6..1..2....6..6..2..2..7..1....6..6..2..0..2..3....2..5..6..4..4..4
..5..3..3..1..6..5....1..1..5..5..0..6....1..1..5..7..5..4....5..2..1..3..3..3

Mathematica

A183678[n_] := 8*8^n + 434*7^n + 3612*6^n + 13510*5^n + 32648*4^n + 58506*3^n + 79924*2^n + 73502;
Array[A183678, 25] (* Paolo Xausa, Jun 16 2026 *)

Crossrefs

Column 5 of A183680.

Sequence in context: A119398 A252894 A048924 * A267362 A392344 A391602

Adjacent sequences: A183675 A183676 A183677 * A183679 A183680 A183681

Keyword

nonn,easy,changed

Author

R. H. Hardin, Jan 06 2011

Extensions

a(7)-a(19) from Christian Krause, Jun 13 2026

Status

approved