A252101 Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 4 6 or 7

10605, 8941, 26996, 86575, 329544, 1129324, 3681127, 14793289, 52094021, 172583949, 707808775, 2531864488, 8516600464, 35467808026, 128320430941, 436331640909, 1836609508999, 6696552135091, 22934071840049, 97204918752755

Offset

1,1

Comments

Column 4 of A252105

Links

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

Formula

Empirical: a(n) = 143*a(n-3) -7633*a(n-6) +194779*a(n-9) -2621021*a(n-12) +21584927*a(n-15) -126117260*a(n-18) +569693148*a(n-21) -1970217723*a(n-24) +5012332433*a(n-27) -9046774747*a(n-30) +9490076649*a(n-33) +2869475853*a(n-36) -28633928995*a(n-39) +46976334404*a(n-42) -43041766972*a(n-45) +27216813760*a(n-48) -12579947264*a(n-51) +4180881408*a(n-54) -1019708416*a(n-57) +177668096*a(n-60) -16252928*a(n-63) +524288*a(n-66) for n>71

Example

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

Crossrefs

Sequence in context: A070249 A083977 A082442 * A031864 A184092 A110018

Adjacent sequences: A252098 A252099 A252100 * A252102 A252103 A252104

Keyword

nonn

Author

R. H. Hardin, Dec 14 2014

Status

approved