A223867 Number of 4Xn 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing

35, 1225, 24199, 315124, 3017129, 22852913, 144081276, 784071455, 3781718633, 16487698435, 65952999251, 244841613810, 851144356707, 2790551617469, 8678912669190, 25728520577688, 72995578880032, 198891717017532

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