A258531 Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and central column plus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

2812, 16473, 92996, 523452, 2927601, 16010949, 85453855, 448125325, 2326571244, 11996536932, 61495715332, 313646814384, 1593373696637, 8068674263131, 40750069662431, 205333266186277, 1032626222703852, 5184491602652610

Offset

1,1

Comments

Row 2 of A258530

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -19*a(n-2) -74*a(n-3) +257*a(n-4) -222*a(n-5) -127*a(n-6) +1310*a(n-7) +5707*a(n-8) -19034*a(n-9) -42452*a(n-10) +94264*a(n-11) +92763*a(n-12) -76114*a(n-13) -25411*a(n-14) -417498*a(n-15) -322268*a(n-16) +880868*a(n-17) +861164*a(n-18) +190524*a(n-19) -942038*a(n-20) -1632564*a(n-21) -76455*a(n-22) -316746*a(n-23) +1435863*a(n-24) +3277486*a(n-25) -886992*a(n-26) -811984*a(n-27) -1316853*a(n-28) -3598154*a(n-29) +730003*a(n-30) +2935906*a(n-31) +2403955*a(n-32) +102238*a(n-33) -2209317*a(n-34) -1258874*a(n-35) -669825*a(n-36) +1040078*a(n-37) +1511094*a(n-38) -443868*a(n-39) -672040*a(n-40) +29952*a(n-41) +138128*a(n-42) +26784*a(n-43) -15520*a(n-44) -4544*a(n-45) +384*a(n-46) +256*a(n-47) for n>52

Example

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

Crossrefs

Cf. A258530

Sequence in context: A254254 A254261 A258524 * A254300 A254916 A107533

Adjacent sequences: A258528 A258529 A258530 * A258532 A258533 A258534

Keyword

nonn

Author

R. H. Hardin, Jun 02 2015

Status

approved