A251005 Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than the absolute difference of its antidiagonal elements

4083, 218298, 11671623, 623999793, 33363057374, 1783834023550, 95376750510010, 5099532967837334, 272658056636328001, 14578279676192568678, 779460690932745520038, 41675628506308185007390, 2228281723639205270839345

Offset

1,1

Comments

Column 3 of A251010

Links

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

Formula

Empirical: a(n) = 81*a(n-1) -1954*a(n-2) +32379*a(n-3) -419520*a(n-4) +4000383*a(n-5) -27981900*a(n-6) +149000935*a(n-7) -627790962*a(n-8) +2173730790*a(n-9) -6430085803*a(n-10) +16294231907*a(n-11) -32054037021*a(n-12) +35251149270*a(n-13) +27785627597*a(n-14) -214291598331*a(n-15) +474340001188*a(n-16) -525110612953*a(n-17) -51492530582*a(n-18) +1353650012855*a(n-19) -2781865247427*a(n-20) +3444068301525*a(n-21) -3009309907241*a(n-22) +1966627276737*a(n-23) -984303214776*a(n-24) +380879357640*a(n-25) -116690528485*a(n-26) +31239482235*a(n-27) -8714904964*a(n-28) +2491548140*a(n-29) -492231312*a(n-30) +38390400*a(n-31)

Example

Some solutions for n=1
..0..2..1..0....1..2..2..2....2..0..1..0....0..0..1..1....0..0..1..2
..2..1..1..2....1..0..2..0....2..1..2..2....0..2..1..1....0..2..1..0

Crossrefs

Sequence in context: A221452 A233985 A126822 * A256028 A063889 A257824

Adjacent sequences: A251002 A251003 A251004 * A251006 A251007 A251008

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved