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A058410 Number of 4 X n nonnegative integer matrices with all column sums 4, up to row and column permutation. +0
3
1, 5, 45, 407, 3411, 25142, 163711, 947909, 4949257, 23579022, 103592423, 423435205, 1622413728, 5864055622, 20102107500, 65660463140, 205176581382, 615506305973, 1778086106680 (list; graph; listen)
OFFSET

0,2

LINKS

Number of m x l nonnegative integer matrices with all column sums equal to n, up to row and column permutation

FORMULA

G.f.: 1 / 24*(1 / (1 - x)^35 + 6 / (1 - x)^9 / (1 - x^2)^13 + 3 / (1 - x)^3 / (1 - x^2)^16 + 8 / (1 - x)^2 / (1 - x^3)^11 + 6 / (1 - x) / (1 - x^2) / (1 - x^4)^8).

CROSSREFS

Cf. A050532, A058390, A058407-A058409.

Sequence in context: A088505 A067403 A022022 this_sequence A005979 A165225 A121272

Adjacent sequences: A058407 A058408 A058409 this_sequence A058411 A058412 A058413

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 25 2000

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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