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A000465
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Number of bipartite partitions of n white objects and 4 black ones.
(Formerly M3821 N1565)
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2
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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; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Number of ways to factor p^n*q^4 where p and q are distinct primes.
a(n) = if n <= 4 then A054225(4,n) else A054225(n,4). [Reinhard Zumkeller, Nov 30 2011]
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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.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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CROSSREFS
| Column 4 of A054225.
Cf. A005380.
Sequence in context: A002767 A055245 A196410 * A069306 A009412 A009428
Adjacent sequences: A000462 A000463 A000464 * A000466 A000467 A000468
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Edited by Christian G. Bower (bowerc(AT)usa.net), Jan 08 2004
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