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A223983 Number of nX4 0..3 arrays with rows unimodal and columns nondecreasing 1
130, 3526, 44803, 358118, 2086196, 9647292, 37395816, 126087157, 379654704, 1040942916, 2637614941, 6248087300, 13964013792, 29662913488, 60254807616, 117633453657, 221649696158, 404535879938, 717351048575, 1239192239626 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A223987

LINKS

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

FORMULA

Empirical: a(n) = (3551/47900160)*n^12 + (89357/39916800)*n^11 + (132341/4354560)*n^10 + (177787/725760)*n^9 + (1892753/1451520)*n^8 + (5834147/1209600)*n^7 + (11057083/870912)*n^6 + (17370313/725760)*n^5 + (6973385/217728)*n^4 + (26874943/907200)*n^3 + (186503/10395)*n^2 + (8831/1386)*n + 1

EXAMPLE

Some solutions for n=3

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

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

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

CROSSREFS

Sequence in context: A168124 A224169 A223860 * A224060 A224046 A224277

Adjacent sequences:  A223980 A223981 A223982 * A223984 A223985 A223986

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 30 2013

STATUS

approved

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Last modified July 6 02:58 EDT 2022. Contains 355108 sequences. (Running on oeis4.)