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URL: https://oeis.org/A224169

⇱ A224169 - OEIS

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A224169
Number of n X 4 0..3 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.
2
130, 3526, 38561, 272130, 1460836, 6425876, 24197608, 80350989, 240416852, 658890738, 1675303647, 3992383968, 8991162356, 19265941324, 39500748718, 77861024489, 148143119762, 273013479180, 488783426991, 852309147046, 1450785202572, 2415419887660, 3940248617356
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = (3551/47900160)*n^12 + (17561/13305600)*n^11 + (376693/21772800)*n^10 + (106499/725760)*n^9 + (229093/290304)*n^8 + (4775993/1209600)*n^7 + (239805679/21772800)*n^6 + (2313469/80640)*n^5 + (85217281/1088640)*n^4 - (37150333/907200)*n^3 - (7297121/207900)*n^2 + (474241/1386)*n - 383 for n>3.
EXAMPLE
Some solutions for n=3:
..0..0..1..1....0..1..1..0....3..1..1..0....0..2..1..1....0..2..2..0
..1..2..2..3....0..3..2..1....3..3..3..3....3..2..2..1....0..3..3..0
..2..2..2..3....2..3..2..2....3..3..3..3....3..3..3..1....2..3..3..0
CROSSREFS
Column 4 of A224173.
Sequence in context: A271758 A228997 A168124 * A223860 A223983 A224060
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 31 2013
EXTENSIONS
Name corrected by Andrew Howroyd, Mar 18 2025
STATUS
approved