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

10240, 54212, 312322, 978154, 2647806, 7796356, 20277514, 50757141, 124775368, 293581128, 660747412, 1455827541, 3098474026, 6387841207, 12869403490, 25261405390, 48376904916, 90820987001, 167055923784, 301392610641

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