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A223867 Number of 4Xn 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing 1
35, 1225, 24199, 315124, 3017129, 22852913, 144081276, 784071455, 3781718633, 16487698435, 65952999251, 244841613810, 851144356707, 2790551617469, 8678912669190, 25728520577688, 72995578880032, 198891717017532 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 of A223864

LINKS

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

FORMULA

Empirical: a(n) = (1/2906843957821440000)*n^24 + (1/34605285212160000)*n^23 + (2197/1372406261022720000)*n^22 + (37133/608225502044160000)*n^21 + (45197/25276903981056000)*n^20 + (14623277/347557429739520000)*n^19 + (26489599/32011868528640000)*n^18 + (37041601/2667655710720000)*n^17 + (14981899/74392141824000)*n^16 + (19115865583/7532204359680000)*n^15 + (31834111187/1158800670720000)*n^14 + (66986419663/269007298560000)*n^13 + (122476645127999/66283398365184000)*n^12 + (27904576042121/2510734786560000)*n^11 + (949107163427/17557585920000)*n^10 + (100270802691019/470762772480000)*n^9 + (174267558093661/256094948229120)*n^8 + (2011492987640933/1143281018880000)*n^7 + (61760354830949111/16895152834560000)*n^6 + (4216963085471057/703964701440000)*n^5 + (5310598072571189/703964701440000)*n^4 + (2777655817513/391091500800)*n^3 + (19272574007557/3805621142400)*n^2 + (2059892117/1070845776)*n + 1

EXAMPLE

Some solutions for n=3

..2..1..1....3..3..0....0..0..2....0..2..1....0..2..0....1..1..0....0..0..0

..2..3..1....3..3..1....0..3..2....2..3..1....1..2..0....2..1..0....0..1..0

..2..3..1....3..3..1....0..3..2....2..3..1....2..3..0....2..2..1....0..3..3

..2..3..2....3..3..3....1..3..3....3..3..3....3..3..3....2..3..2....0..3..3

CROSSREFS

Sequence in context: A207745 A207722 A224175 * A095153 A223989 A224387

Adjacent sequences:  A223864 A223865 A223866 * A223868 A223869 A223870

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 28 2013

STATUS

approved

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Last modified February 24 03:22 EST 2020. Contains 332195 sequences. (Running on oeis4.)