A254567 Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock sum of the four sums of the central row, central column, diagonal and antidiagonal nondecreasing horizontally and vertically

1029664, 4205934, 20277514, 25618602, 45085796, 120967261, 206491388, 496247824, 980309768, 2140733638, 4396657758, 9138690014, 18508554954, 37124963771, 73186116528, 142299121992, 272494928124, 514557580661

Offset

1,1

Comments

Column 7 of A254568

Links

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

R. H. Hardin, polynomial of degree 25 plus a quasipolynomial of degree 12 with period 6

Formula

Empirical: a(n) = 12*a(n-1) -65*a(n-2) +221*a(n-3) -585*a(n-4) +1417*a(n-5) -3211*a(n-6) +6513*a(n-7) -12077*a(n-8) +21515*a(n-9) -36465*a(n-10) +57421*a(n-11) -86164*a(n-12) +125685*a(n-13) -173900*a(n-14) +227240*a(n-15) -288561*a(n-16) +353704*a(n-17) -407485*a(n-18) +449085*a(n-19) -481403*a(n-20) +483197*a(n-21) -446589*a(n-22) +391963*a(n-23) -311740*a(n-24) +190905*a(n-25) -60632*a(n-26) -60632*a(n-27) +190905*a(n-28) -311740*a(n-29) +391963*a(n-30) -446589*a(n-31) +483197*a(n-32) -481403*a(n-33) +449085*a(n-34) -407485*a(n-35) +353704*a(n-36) -288561*a(n-37) +227240*a(n-38) -173900*a(n-39) +125685*a(n-40) -86164*a(n-41) +57421*a(n-42) -36465*a(n-43) +21515*a(n-44) -12077*a(n-45) +6513*a(n-46) -3211*a(n-47) +1417*a(n-48) -585*a(n-49) +221*a(n-50) -65*a(n-51) +12*a(n-52) -a(n-53) for n>71

polynomial of degree 25 plus a quasipolynomial of degree 12 with period 6 for n>18 (see link above)

Example

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

Crossrefs

Sequence in context: A143133 A235106 A159816 * A235722 A115497 A205925

Adjacent sequences: A254564 A254565 A254566 * A254568 A254569 A254570

Keyword

nonn

Author

R. H. Hardin, Feb 01 2015

Status

approved