A251902 Number of (n+2) X (5+2) 0..3 arrays with every 3 X 3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5.

9208, 3910, 6408, 10266, 30504, 61686, 101508, 274648, 604412, 1157444, 2963592, 6561772, 13973448, 33703928, 77705104, 169380356, 413827088, 941228756, 2169495936, 5059526272, 11958199184, 27132425020, 65066225412, 149294564036

Offset

1,1

Comments

Column 5 of A251905.

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +28*a(n-4) -28*a(n-5) +53*a(n-6) -81*a(n-7) -205*a(n-8) +124*a(n-9) -1239*a(n-10) +1363*a(n-11) -108*a(n-12) +1471*a(n-13) +7021*a(n-14) -5550*a(n-15) +2250*a(n-16) -7800*a(n-17) -15300*a(n-18) +7500*a(n-19) -6492*a(n-20) +13992*a(n-21) +12520*a(n-22) +1472*a(n-23) +21840*a(n-24) -20368*a(n-25) -15664*a(n-26) -4704*a(n-27) -22432*a(n-28) +17728*a(n-29) +15168*a(n-30) +2560*a(n-31) +7680*a(n-32) -5120*a(n-33) -2560*a(n-34) -2560*a(n-35) -2560*a(n-36) for n>40.

Example

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

Crossrefs

Cf. A251905.

Sequence in context: A243969 A231424 A234887 * A234139 A175743 A204103

Adjacent sequences: A251899 A251900 A251901 * A251903 A251904 A251905

Keyword

nonn

Author

R. H. Hardin, Dec 10 2014

Status

approved