A252639 Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7

24852, 121016, 840655, 4416767, 39238223, 285228944, 1669555189, 14996577319, 109620130066, 681798971770, 6159929224645, 45152154535750, 290188781235147, 2628584711207738, 19284849512611080, 125910015909639810

Offset

1,1

Comments

Column 7 of A252640

Links

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

Formula

Empirical: a(n) = 862*a(n-3) -238268*a(n-6) +25139455*a(n-9) -911057861*a(n-12) +25632934408*a(n-15) -499013203498*a(n-18) +5337162838167*a(n-21) -28636428266484*a(n-24) +71387949771492*a(n-27) -85626944732736*a(n-30) +75132667425024*a(n-33) -49596434721792*a(n-36) +9613070917632*a(n-39) for n>50

Example

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

Crossrefs

Sequence in context: A052356 A334024 A184093 * A252146 A110599 A199857

Adjacent sequences: A252636 A252637 A252638 * A252640 A252641 A252642

Keyword

nonn

Author

R. H. Hardin, Dec 19 2014

Status

approved