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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 1
358324, 1612832, 7796356, 12136355, 25591173, 67038844, 120967261, 285405350, 585731513, 1260737905, 2603678606, 5360553840, 10780475603, 21384190928, 41746688525, 80276252173, 152118285636, 284380963038, 524451363363 (list; graph; refs; listen; history; text; internal format)
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 A034630

Adjacent sequences:  A254563 A254564 A254565 * A254567 A254568 A254569

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 01 2015

STATUS

approved

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Last modified September 28 04:37 EDT 2020. Contains 337392 sequences. (Running on oeis4.)