A223947 - OEIS

A223947

Number of nX6 0..1 arrays with diagonals and antidiagonals unimodal and rows nondecreasing

7, 49, 241, 928, 3115, 9919, 31899, 106838, 372791, 1333858, 4817747, 17407255, 62752228, 225884852, 813221202, 2931336019, 10582353096, 38251831384, 138386374911, 500895790541, 1813490035610, 6566735544675, 23781203864410

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OFFSET

1,1

COMMENTS

Column 6 of A223949

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) -14*a(n-2) +3*a(n-3) +17*a(n-4) -16*a(n-5) +13*a(n-6) -32*a(n-7) +4*a(n-8) -442*a(n-9) -12*a(n-10) +148*a(n-11) +2028*a(n-12) +340*a(n-13) +438*a(n-14) +2729*a(n-15) +671*a(n-16) +154*a(n-17) -4426*a(n-18) -1581*a(n-19) -772*a(n-20) +98*a(n-21) -8*a(n-22) +88*a(n-23) +16*a(n-24)

EXAMPLE

Some solutions for n=3

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

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

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

CROSSREFS

Sequence in context: A223615 A188768 A188757 * A207083 A207177 A207089

Adjacent sequences: A223944 A223945 A223946 * A223948 A223949 A223950

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 29 2013

STATUS

approved