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A002757
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Number of bipartite partitions of n white objects and 8 black ones.
(Formerly M5123 N2219)
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1
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22, 67, 181, 401, 831, 1576, 2876, 4987, 8406, 13715, 21893, 34134, 52327, 78785, 116982, 171259, 247826, 354482, 502090, 704265, 979528, 1351109, 1849932, 2514723, 3396262, 4557867, 6081466, 8068930, 10650479, 13987419, 18283999
(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^8 where p and q are distinct primes.
a(n) = if n <= 8 then A054225(8,n) else A054225(n,8). [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. 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 8 of A054225.
Cf. A005380.
Sequence in context: A164136 A041946 A041948 * A041950 A114636 A044160
Adjacent sequences: A002754 A002755 A002756 * A002758 A002759 A002760
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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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