A254566 Number of (n+2)X(6+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

358324, 1612832, 7796356, 12136355, 25591173, 67038844, 120967261, 285405350, 585731513, 1260737905, 2603678606, 5360553840, 10780475603, 21384190928, 41746688525, 80276252173, 152118285636, 284380963038, 524451363363

Offset

1,1

Comments

Column 6 of A254568

Links

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

R. H. Hardin, polynomial of degree 24 plus a quasipolynomial of degree 13 with period 6

Formula

Empirical: a(n) = 10*a(n-1) -44*a(n-2) +124*a(n-3) -305*a(n-4) +748*a(n-5) -1631*a(n-6) +3088*a(n-7) -5687*a(n-8) +10264*a(n-9) -16763*a(n-10) +25708*a(n-11) -39500*a(n-12) +57442*a(n-13) -76937*a(n-14) +102088*a(n-15) -133133*a(n-16) +159250*a(n-17) -183092*a(n-18) +212212*a(n-19) -227591*a(n-20) +223288*a(n-21) -221507*a(n-22) +207064*a(n-23) -159302*a(n-24) +111826*a(n-25) -69641*a(n-26) +69641*a(n-28) -111826*a(n-29) +159302*a(n-30) -207064*a(n-31) +221507*a(n-32) -223288*a(n-33) +227591*a(n-34) -212212*a(n-35) +183092*a(n-36) -159250*a(n-37) +133133*a(n-38) -102088*a(n-39) +76937*a(n-40) -57442*a(n-41) +39500*a(n-42) -25708*a(n-43) +16763*a(n-44) -10264*a(n-45) +5687*a(n-46) -3088*a(n-47) +1631*a(n-48) -748*a(n-49) +305*a(n-50) -124*a(n-51) +44*a(n-52) -10*a(n-53) +a(n-54) for n>70

polynomial of degree 24 plus a quasipolynomial of degree 13 with period 6 for n>16 (see link above)

Example

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

Crossrefs

Sequence in context: A237486 A258952 A251456 * A151619 A190390 A357700

Adjacent sequences: A254563 A254564 A254565 * A254567 A254568 A254569

Keyword

nonn

Author

R. H. Hardin, Feb 01 2015

Status

approved