A224358 - OEIS

A224358

Number of 7Xn 0..2 arrays with diagonals and antidiagonals unimodal and rows nondecreasing

2187, 279936, 2710892, 11704964, 37433596, 107694133, 300892325, 834305212, 2288859662, 6150132424, 16041429234, 40392369273, 97941685953, 228592108824, 513973817853, 1114992467592, 2338135911280, 4749060805124, 9361861348424

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OFFSET

1,1

COMMENTS

Row 7 of A224353

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..116

FORMULA

Empirical: a(n) = (118519/21794572800)*n^14 + (2257/124540416)*n^13 + (126449/119750400)*n^12 + (175069/21772800)*n^11 + (49727/544320)*n^10 + (1018841/1451520)*n^9 + (447386489/76204800)*n^8 + (2968546327/21772800)*n^7 - (29364148727/21772800)*n^6 + (37983445967/2177280)*n^5 - (4238661826723/59875200)*n^4 + (1152210830677/3326400)*n^3 - (7620593288311/18918900)*n^2 + (1232004733/910)*n - 8483920 for n>9

EXAMPLE

Some solutions for n=3

..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0

..0..0..2....0..0..2....0..0..1....0..1..2....0..1..1....0..1..1....0..1..1

..0..0..2....0..1..1....0..0..2....0..0..0....0..1..2....0..0..1....0..0..0

..0..0..0....0..1..2....0..2..2....0..0..1....0..0..0....0..1..2....0..0..0

..0..0..2....0..0..1....0..2..2....0..1..1....0..0..2....1..1..2....0..2..2

..0..0..1....0..1..1....0..0..1....0..0..2....2..2..2....1..1..1....0..0..1

..0..1..1....1..1..2....0..2..2....0..2..2....0..1..1....0..1..2....0..0..2

CROSSREFS

Sequence in context: A210057 A232029 A268977 * A224017 A016771 A059979

Adjacent sequences: A224355 A224356 A224357 * A224359 A224360 A224361

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 04 2013

STATUS

approved