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A224261 Number of nX7 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing 1
239, 9503, 119367, 850875, 4542734, 20568693, 83124099, 306179180, 1038489172, 3266157979, 9583669559, 26387428383, 68551067596, 168889679757, 396460357949, 890533215416, 1921389717480, 3995624313351, 8033215042947, 15657425192703 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 7 of A224262

LINKS

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

FORMULA

Empirical: a(n) = (118519/21794572800)*n^14 + (2257/124540416)*n^13 + (11489/13305600)*n^12 + (227251/47900160)*n^11 + (39637/777600)*n^10 + (458077/1451520)*n^9 + (169757921/76204800)*n^8 + (6354631/870912)*n^7 + (526598447/7257600)*n^6 + (85059797/2177280)*n^5 + (6141145069/8553600)*n^4 - (2165544719/1995840)*n^3 - (174076430267/75675600)*n^2 - (921446093/36036)*n + 109916 for n>8

EXAMPLE

Some solutions for n=3

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

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

..2..2..2..2..2..2..1....2..2..2..2..2..2..1....1..2..2..2..2..2..2

CROSSREFS

Sequence in context: A065750 A201045 A056095 * A223917 A224189 A223932

Adjacent sequences:  A224258 A224259 A224260 * A224262 A224263 A224264

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 02 2013

STATUS

approved

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Last modified May 25 19:19 EDT 2022. Contains 354071 sequences. (Running on oeis4.)