A252331 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8

20782, 19540, 68675, 214176, 1091359, 3999229, 13814611, 72653087, 271107529, 955749031, 5021999771, 18759236477, 66726088706, 352163988663, 1312830338187, 4684383863325, 24801667822603, 92386186419629, 330145724250475

Offset

1,1

Comments

Column 5 of A252334

Links

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

Formula

Empirical: a(n) = 148*a(n-3) -7922*a(n-6) +223043*a(n-9) -4189093*a(n-12) +57004445*a(n-15) -557850536*a(n-18) +3890454565*a(n-21) -19759437965*a(n-24) +76425372623*a(n-27) -235704260005*a(n-30) +594422295680*a(n-33) -1230560500051*a(n-36) +2085999313345*a(n-39) -2860930670831*a(n-42) +3063167420167*a(n-45) -2428743901688*a(n-48) +1351600959695*a(n-51) -497553886887*a(n-54) +102504809509*a(n-57) +4025162306*a(n-60) -12323716020*a(n-63) +5072493137*a(n-66) -1195431568*a(n-69) +186768032*a(n-72) -19509056*a(n-75) +1109504*a(n-78) -24576*a(n-81) for n>86

Example

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

Crossrefs

Sequence in context: A173572 A342391 A048960 * A104903 A235952 A207794

Adjacent sequences: A252328 A252329 A252330 * A252332 A252333 A252334

Keyword

nonn

Author

R. H. Hardin, Dec 16 2014

Status

approved