A251994 Number of (n+2)X(2+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 4 5 or 7

6094, 77488, 1209382, 19275074, 308552418, 4946174244, 79312163374, 1271825402952, 20394818684346, 327049548596494, 5244541495917592, 84101075559818272, 1348638607315433582, 21626668807811200848

Offset

1,1

Comments

Column 2 of A252000

Links

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

Formula

Empirical: a(n) = 24*a(n-1) -146*a(n-2) +348*a(n-3) -1164*a(n-4) +4836*a(n-5) -3622*a(n-6) -2167*a(n-7) -25834*a(n-8) -163050*a(n-9) +625406*a(n-10) -454334*a(n-11) +2578135*a(n-12) -7179255*a(n-13) +2853363*a(n-14) -5172484*a(n-15) +13836604*a(n-16) +14687612*a(n-17) -18231993*a(n-18) +14004730*a(n-19) -28801385*a(n-20) -36509133*a(n-21) +1795386*a(n-22) -64105492*a(n-23) +83297541*a(n-24) +183178996*a(n-25) +1137065*a(n-26) +104540506*a(n-27) -274652431*a(n-28) -88206878*a(n-29) -62757693*a(n-30) -42543041*a(n-31) +147431061*a(n-32) -15278613*a(n-33) +193724145*a(n-34) -16582860*a(n-35) +46597400*a(n-36) -107625789*a(n-37) -97037637*a(n-38) +1243502*a(n-39) -33081040*a(n-40) +80697753*a(n-41) +2578165*a(n-42) +17682589*a(n-43) -592141*a(n-44) -11645550*a(n-45) -628800*a(n-46) -1596502*a(n-47) -119992*a(n-48) +651200*a(n-49) -25444*a(n-50) -117000*a(n-51) -288*a(n-52) -4608*a(n-53) for n>57

Example

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

Crossrefs

Sequence in context: A156200 A236824 A211929 * A201225 A031619 A235764

Adjacent sequences: A251991 A251992 A251993 * A251995 A251996 A251997

Keyword

nonn

Author

R. H. Hardin, Dec 12 2014

Status

approved