A253931 Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally and vertically

28540, 109666, 451721, 1664470, 3152822, 6795110, 13179071, 20815359, 34379873, 54238467, 84556277, 130915016, 198497618, 294992530, 439444601, 642097226, 927953195, 1323120836, 1881491639, 2642172439, 3680182112, 5073880259

Offset

1,1

Comments

Column 4 of A253935

Links

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

R. H. Hardin, Empirical quasipolynomial

Formula

Empirical: a(n) = 6*a(n-1) -17*a(n-2) +32*a(n-3) -40*a(n-4) +16*a(n-5) +58*a(n-6) -172*a(n-7) +279*a(n-8) -286*a(n-9) +117*a(n-10) +224*a(n-11) -641*a(n-12) +934*a(n-13) -907*a(n-14) +476*a(n-15) +292*a(n-16) -1140*a(n-17) +1742*a(n-18) -1824*a(n-19) +1269*a(n-20) -222*a(n-21) -999*a(n-22) +1992*a(n-23) -2418*a(n-24) +2148*a(n-25) -1254*a(n-26) +1254*a(n-28) -2148*a(n-29) +2418*a(n-30) -1992*a(n-31) +999*a(n-32) +222*a(n-33) -1269*a(n-34) +1824*a(n-35) -1742*a(n-36) +1140*a(n-37) -292*a(n-38) -476*a(n-39) +907*a(n-40) -934*a(n-41) +641*a(n-42) -224*a(n-43) -117*a(n-44) +286*a(n-45) -279*a(n-46) +172*a(n-47) -58*a(n-48) -16*a(n-49) +40*a(n-50) -32*a(n-51) +17*a(n-52) -6*a(n-53) +a(n-54) for n>90

Empirical polynomial of degree 14 plus a quasipolynomial of degree 8 with period 24 for n>36 (see link above)

Example

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

Crossrefs

Sequence in context: A186531 A253837 A253844 * A159056 A017536 A013869

Adjacent sequences: A253928 A253929 A253930 * A253932 A253933 A253934

Keyword

nonn

Author

R. H. Hardin, Jan 19 2015

Status

approved