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A224263 Number of 3Xn 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing 1
10, 100, 648, 3096, 12032, 40182, 119367, 322885, 808618, 1898050, 4215105, 8921265, 18101023, 35375831, 66857059, 122591129, 218705294, 380533212, 647088610, 1077366434, 1759087854, 2820672704, 4447425227, 6903161705 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 3 of A224262

LINKS

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

FORMULA

Empirical: a(n) = (1/19160064)*n^12 + (1/1064448)*n^11 + (181/6220800)*n^10 + (557/1451520)*n^9 + (13571/2903040)*n^8 + (3197/96768)*n^7 + (8451841/43545600)*n^6 + (316789/483840)*n^5 + (535159/311040)*n^4 + (151169/72576)*n^3 + (9281749/1663200)*n^2 - (73057/13860)*n + 5

EXAMPLE

Some solutions for n=3

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

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

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

CROSSREFS

Sequence in context: A111434 A208074 A092707 * A223920 A223865 A293890

Adjacent sequences:  A224260 A224261 A224262 * A224264 A224265 A224266

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 02 2013

STATUS

approved

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Last modified January 25 19:00 EST 2022. Contains 350572 sequences. (Running on oeis4.)