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A253931 Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally and vertically 1
28540, 109666, 451721, 1664470, 3152822, 6795110, 13179071, 20815359, 34379873, 54238467, 84556277, 130915016, 198497618, 294992530, 439444601, 642097226, 927953195, 1323120836, 1881491639, 2642172439, 3680182112, 5073880259 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 4 of A253935
LINKS
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 19 2015
STATUS
approved

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Last modified April 12 16:20 EDT 2024. Contains 371635 sequences. (Running on oeis4.)