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A331646
Number of nonnegative integer matrices with 2 columns and any number of distinct nonzero rows with column sums n.
5
1, 3, 13, 87, 539, 2483, 14567, 81669, 402187, 2089413, 10344053, 49065413, 232941293, 1092284091, 5011510213, 22637050383, 100092546203, 439274499155, 1888145728847, 8058486875493, 33954688300771, 140741748208701, 579404121062837, 2354567807958773, 9481400353625789
OFFSET
0,2
LINKS
EXAMPLE
The a(1) = 3 matrices are:
[1 0] [0 1] [1 1]
[0 1] [1 0]
PROG
(PARI) a(n)={subst(serlaplace(polcoef(polcoef(prod(i=0, n, prod(j=0, n, 1 + x^i*y^j*z + O(x*x^n) + O(y*y^n))), n, x), n, y)/(1 + z)), z, 1)}
CROSSREFS
Column k=2 of A331568.
Sequence in context: A188204 A152112 A167810 * A054420 A363656 A300701
KEYWORD
nonn
AUTHOR
Andrew Howroyd, Jan 23 2020
STATUS
approved