A259000 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

2444, 6271, 21073, 59549, 130296, 263417, 459014, 746902, 1157855, 1747626, 2526699, 3525095, 4828668, 6585115, 8782352, 11515630, 14947529, 19367769, 24856946, 31586776, 39913937, 50417363, 63364419, 79232160, 98809224

Offset

1,1

Comments

Column 2 of A259006

Links

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

Formula

Empirical: a(n) = -3*a(n-1) -4*a(n-2) +a(n-3) +16*a(n-4) +33*a(n-5) +32*a(n-6) -11*a(n-7) -91*a(n-8) -156*a(n-9) -127*a(n-10) +41*a(n-11) +286*a(n-12) +443*a(n-13) +334*a(n-14) -73*a(n-15) -585*a(n-16) -860*a(n-17) -634*a(n-18) +54*a(n-19) +833*a(n-20) +1203*a(n-21) +888*a(n-22) +37*a(n-23) -845*a(n-24) -1230*a(n-25) -915*a(n-26) -135*a(n-27) +611*a(n-28) +912*a(n-29) +679*a(n-30) +153*a(n-31) -310*a(n-32) -477*a(n-33) -348*a(n-34) -93*a(n-35) +107*a(n-36) +166*a(n-37) +114*a(n-38) +30*a(n-39) -24*a(n-40) -34*a(n-41) -20*a(n-42) -4*a(n-43) +3*a(n-44) +3*a(n-45) +a(n-46) for n>60

Example

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

Crossrefs

Cf. A259006

Sequence in context: A233678 A252554 A259007 * A256898 A255077 A183629

Adjacent sequences: A258997 A258998 A258999 * A259001 A259002 A259003

Keyword

nonn

Author

R. H. Hardin, Jun 16 2015

Status

approved