A254916 Number of (n+2)X(2+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 and vertically

2812, 19890, 127758, 705398, 3788492, 20154545, 104789699, 539308818, 2760965456, 14069458108, 71431677779, 361454282791, 1824129053825, 9186129195256, 46175624546126, 231738960398169, 1161425292551641

Offset

1,1

Comments

Column 2 of A254922

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
..1..1..1..1....1..1..0..0....1..0..1..1....1..1..0..1....1..1..1..1
..0..0..0..1....0..0..0..0....1..0..1..0....0..0..1..0....0..0..0..0
..1..1..0..0....1..1..1..1....0..0..1..0....0..0..1..0....1..0..1..1
..0..1..1..0....0..0..1..1....1..0..1..1....1..1..0..0....1..0..0..1
..0..0..1..1....0..1..0..0....0..0..1..1....0..1..0..0....0..0..0..1

Crossrefs

Sequence in context: A258524 A258531 A254300 * A107533 A065668 A045147

Adjacent sequences: A254913 A254914 A254915 * A254917 A254918 A254919

Keyword

nonn

Author

R. H. Hardin, Feb 10 2015

Status

approved