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A254563 Number of (n+2)X(3+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
10240, 54212, 312322, 978154, 2647806, 7796356, 20277514, 50757141, 124775368, 293581128, 660747412, 1455827541, 3098474026, 6387841207, 12869403490, 25261405390, 48376904916, 90820987001, 167055923784, 301392610641 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A254568

LINKS

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

R. H. Hardin, polynomial of degree 21 plus a quasipolynomial of degree 13 with period 6

FORMULA

Empirical: a(n) = 7*a(n-1) -20*a(n-2) +42*a(n-3) -112*a(n-4) +266*a(n-5) -455*a(n-6) +813*a(n-7) -1617*a(n-8) +2519*a(n-9) -3542*a(n-10) +5908*a(n-11) -8631*a(n-12) +10283*a(n-13) -14287*a(n-14) +19747*a(n-15) -20748*a(n-16) +23478*a(n-17) -30667*a(n-18) +29029*a(n-19) -25025*a(n-20) +30459*a(n-21) -26026*a(n-22) +12584*a(n-23) -13013*a(n-24) +9009*a(n-25) +9009*a(n-26) -13013*a(n-27) +12584*a(n-28) -26026*a(n-29) +30459*a(n-30) -25025*a(n-31) +29029*a(n-32) -30667*a(n-33) +23478*a(n-34) -20748*a(n-35) +19747*a(n-36) -14287*a(n-37) +10283*a(n-38) -8631*a(n-39) +5908*a(n-40) -3542*a(n-41) +2519*a(n-42) -1617*a(n-43) +813*a(n-44) -455*a(n-45) +266*a(n-46) -112*a(n-47) +42*a(n-48) -20*a(n-49) +7*a(n-50) -a(n-51) for n>61

polynomial of degree 21 plus a quasipolynomial of degree 13 with period 6 for n>10 (see link above)

EXAMPLE

Some solutions for n=2

..0..0..1..1..0....1..0..1..1..0....0..0..0..0..1....1..0..0..1..0

..0..0..0..1..1....0..0..0..0..0....0..0..0..1..0....1..0..0..1..1

..1..0..1..1..0....0..0..0..0..0....0..0..0..1..1....1..0..1..1..1

..1..0..1..1..1....1..1..0..1..1....0..0..0..1..1....1..0..0..1..0

CROSSREFS

Sequence in context: A031987 A235693 A247948 * A074671 A235157 A156119

Adjacent sequences:  A254560 A254561 A254562 * A254564 A254565 A254566

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 01 2015

STATUS

approved

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Last modified September 28 17:43 EDT 2020. Contains 337393 sequences. (Running on oeis4.)