A224053 Number of n X 4 0..2 arrays with rows and columns unimodal and antidiagonals nondecreasing.

46, 698, 5219, 27246, 115716, 428949, 1442005, 4492529, 13133871, 36307595, 95412314, 239342404, 575169570, 1328404782, 2957341785, 6363295591, 13266197675, 26858140315, 52913319943, 101631438086, 190636635796

Offset: 1

Author

R. H. Hardin, Mar 30 2013

Keywords

• nonn

Comments

Column 4 of A224057.

Examples

			Some solutions for n=3
..0..0..0..0....0..0..0..1....0..0..0..0....0..0..1..1....2..1..0..0
..2..1..1..1....0..0..1..0....2..1..0..0....0..1..2..0....1..1..1..2
..1..2..2..0....1..1..1..0....1..1..2..0....1..2..1..0....1..1..2..2
		

Links

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

Crossrefs

Cf. A224057.

Formula

Empirical: a(n) = (1/106748928000)*n^16 + (1/2668723200)*n^15 + (29/2335132800)*n^14 + (9677/37362124800)*n^13 + (129359/28740096000)*n^12 + (171629/2874009600)*n^11 + (12139/18662400)*n^10 + (195851/37324800)*n^9 + (231935077/5225472000)*n^8 + (74110763/261273600)*n^7 + (324341569/179625600)*n^6 + (4052978161/718502400)*n^5 + (3589053277/247104000)*n^4 - (12388141/741312)*n^3 + (87129737/1029600)*n^2 + (364945/2574)*n - 457 for n>3.