A253934 Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally and vertically

709704, 1786831, 4928792, 13179071, 9470400, 17762028, 31663440, 40874791, 67588814, 114752167, 187236938, 308804212, 504175746, 814016078, 1308165346, 2082298220, 3276474924, 5108994892, 7891481786, 12067402454, 18266075120

Offset

1,1

Comments

Column 7 of A253935

Links

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

R. H. Hardin, Empirical quasipolynomial

Formula

Empirical: a(n) = 10*a(n-1) -47*a(n-2) +140*a(n-3) -296*a(n-4) +452*a(n-5) -438*a(n-6) +24*a(n-7) +915*a(n-8) -2198*a(n-9) +3243*a(n-10) -3224*a(n-11) +1503*a(n-12) +1890*a(n-13) -6025*a(n-14) +9272*a(n-15) -9928*a(n-16) +7000*a(n-17) -782*a(n-18) -7052*a(n-19) +13941*a(n-20) -17350*a(n-21) +15759*a(n-22) -9296*a(n-23) -282*a(n-24) +10196*a(n-25) -17562*a(n-26) +20272*a(n-27) -17562*a(n-28) +10196*a(n-29) -282*a(n-30) -9296*a(n-31) +15759*a(n-32) -17350*a(n-33) +13941*a(n-34) -7052*a(n-35) -782*a(n-36) +7000*a(n-37) -9928*a(n-38) +9272*a(n-39) -6025*a(n-40) +1890*a(n-41) +1503*a(n-42) -3224*a(n-43) +3243*a(n-44) -2198*a(n-45) +915*a(n-46) +24*a(n-47) -438*a(n-48) +452*a(n-49) -296*a(n-50) +140*a(n-51) -47*a(n-52) +10*a(n-53) -a(n-54) for n>87

Empirical polynomial of degree 17 plus a quasipolynomial of degree 7 with period 24 for n>33 (see link above)

Example

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

Crossrefs

Sequence in context: A342796 A253847 A253840 * A083613 A284166 A083614

Adjacent sequences: A253931 A253932 A253933 * A253935 A253936 A253937

Keyword

nonn

Author

R. H. Hardin, Jan 19 2015

Status

approved