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A000465 Number of bipartite partitions of n white objects and 4 black ones.
(Formerly M3821 N1565)
+0
2
5, 12, 29, 57, 109, 189, 323, 522, 831, 1279, 1941, 2876, 4215, 6066, 8644, 12151, 16933, 23336, 31921, 43264, 58250, 77825, 103362, 136371, 178975, 233532, 303268, 391831, 504069, 645520, 823419, 1046067, 1324136, 1669950, 2099104 (list; graph; listen)
OFFSET

0,1

COMMENT

Number of ways to factor p^n*q^4 where p and q are distinct primes.

REFERENCES

F. C. Auluck, On partitions of bipartite numbers. Proc. Cambridge Philos. Soc. 49, (1953). 72-83.

M. S. Cheema and H. Gupta, Tables of Partitions of Gaussian Integers. National Institute of Sciences of India, Mathematical Tables, Vol. 1, New Delhi, 1956, p. 1.

CROSSREFS

Column 4 of A060243. Cf. A005380.

Adjacent sequences: A000462 A000463 A000464 this_sequence A000466 A000467 A000468

Sequence in context: A038376 A002767 A055245 this_sequence A069306 A009412 A009428

KEYWORD

nonn

AUTHOR

njas

EXTENSIONS

Edited by Christian G. Bower (bowerc(AT)usa.net), Jan 08 2004

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.


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