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A002758
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Number of bipartite partitions of n white objects and 9 black ones.
(Formerly M5209 N2265)
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1
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30, 97, 267, 608, 1279, 2472, 4571, 8043, 13715, 22652, 36535, 57568, 89079, 135384, 202747, 299344, 436597, 629364, 897970, 1268634, 1776562, 2466961, 3399463, 4650218, 6318429, 8529869, 11446563, 15272827, 20269135, 26762094
(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^9 where p and q are distinct primes.
a(n) = if n <= 9 then A054225(9,n) else A054225(n,9). [Reinhard Zumkeller, Nov 30 2011]
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REFERENCES
| 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. 2.
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 9 of A054225.
Cf. A005380.
Sequence in context: A035076 A096382 A008525 * A187401 A130863 A070114
Adjacent sequences: A002755 A002756 A002757 * A002759 A002760 A002761
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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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