A252412 Number of (5+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 2 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 2 3 4 6 or 7

631, 2414, 8346, 16906, 73925, 267113, 551827, 2435059, 8866727, 18409806, 81776200, 299783435, 624944548, 2793739935, 10304968705, 21560646122, 96944615567, 359575578407, 754760825240, 3411066520359, 12713159431464

Offset

1,1

Comments

Row 5 of A252407

Links

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

Formula

Empirical: a(n) = 70*a(n-3) -1310*a(n-6) +2636*a(n-9) +32077*a(n-12) -114560*a(n-15) -249921*a(n-18) +1417321*a(n-21) +345748*a(n-24) -7837703*a(n-27) +5163709*a(n-30) +17041697*a(n-33) -25415804*a(n-36) +9724087*a(n-39) +1068754*a(n-42) -1474782*a(n-45) +323236*a(n-48) -26094*a(n-51) +840*a(n-54) for n>55

Example

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

Crossrefs

Sequence in context: A020387 A217494 A105305 * A002227 A251217 A139066

Adjacent sequences: A252409 A252410 A252411 * A252413 A252414 A252415

Keyword

nonn

Author

R. H. Hardin, Dec 17 2014

Status

approved