A252684 - OEIS

A252684

Number of (5+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7

1648, 3573, 11543, 22203, 96174, 362380, 722737, 3155586, 12207169, 24482830, 107405829, 421462466, 847387214, 3725620904, 14777364822, 29772875790, 131130161526, 524782387151, 1059132003908, 4671467572248, 18835616032112

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Row 5 of A252679

LINKS

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

FORMULA

Empirical: a(n) = 82*a(n-3) -2182*a(n-6) +20596*a(n-9) -41475*a(n-12) -415132*a(n-15) +2151263*a(n-18) +750453*a(n-21) -24659576*a(n-24) +33367593*a(n-27) +110280081*a(n-30) -295729307*a(n-33) -64677480*a(n-36) +860048039*a(n-39) -928926018*a(n-42) +296870954*a(n-45) +52220748*a(n-48) -51097950*a(n-51) +10657520*a(n-54) -845088*a(n-57) +26880*a(n-60) for n>66

EXAMPLE

Some solutions for n=4

..3..2..0..3..2..0....1..0..1..1..3..1....0..1..1..0..1..1....0..3..2..0..0..2

..1..1..0..1..1..0....1..1..0..1..1..0....3..2..0..0..2..3....3..1..1..0..1..1

..0..1..1..0..1..1....2..0..0..2..0..0....1..1..3..1..1..0....1..0..1..1..3..1

..3..2..0..0..2..0....1..0..1..1..3..1....0..1..1..0..1..1....0..0..2..0..0..2

..1..1..0..1..1..3....1..1..0..1..1..0....0..2..0..0..2..0....0..1..1..0..1..1

..0..1..1..0..1..1....2..0..0..2..0..3....1..1..0..1..1..0....1..0..1..1..0..1

..3..2..0..0..2..0....1..3..1..1..0..1....0..1..1..0..1..1....2..3..2..0..0..2

CROSSREFS

Sequence in context: A093059 A255620 A253030 * A203864 A154075 A251897

Adjacent sequences: A252681 A252682 A252683 * A252685 A252686 A252687

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 20 2014

STATUS

approved