A252643 Number of (3+2)X(n+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

1189, 4226, 12840, 29463, 110665, 355574, 840655, 3260707, 10744547, 25508207, 101193115, 338681148, 802629085, 3232141280, 10932868939, 25796432709, 105008159655, 358017641465, 839978667582, 3448701353842, 11833026855353

Offset

1,1

Comments

Row 3 of A252640

Links

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

Formula

Empirical: a(n) = 128*a(n-3) -6795*a(n-6) +197027*a(n-9) -3485715*a(n-12) +40112291*a(n-15) -314079654*a(n-18) +1729862009*a(n-21) -6873668781*a(n-24) +20116182638*a(n-27) -44166333047*a(n-30) +73953140517*a(n-33) -95420813777*a(n-36) +94546651863*a(n-39) -70315286432*a(n-42) +37717184263*a(n-45) -13857738438*a(n-48) +3270640464*a(n-51) -453515360*a(n-54) +31724800*a(n-57) -768000*a(n-60) for n>63

Example

Some solutions for n=4
..3..0..1..3..0..1....3..3..1..0..3..1....3..0..3..3..1..3....3..1..0..3..1..3
..1..0..3..1..3..0....1..3..3..1..3..0....3..0..1..3..3..1....1..1..2..1..1..2
..1..2..1..1..2..1....1..2..1..1..2..1....2..1..1..2..1..1....1..3..0..1..3..3
..0..3..1..3..0..1....0..3..1..3..3..1....3..1..0..3..1..0....0..1..3..3..1..0
..1..3..3..1..3..3....1..3..3..1..0..3....3..3..1..3..3..1....0..1..2..1..1..2

Crossrefs

Sequence in context: A229539 A233687 A233640 * A158735 A035860 A290843

Adjacent sequences: A252640 A252641 A252642 * A252644 A252645 A252646

Keyword

nonn

Author

R. H. Hardin, Dec 19 2014

Status

approved