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A002756
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Number of bipartite partitions of n white objects and 7 black ones.
(Formerly M4964 N2129)
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1
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15, 45, 118, 257, 522, 975, 1752, 2998, 4987, 8043, 12693, 19584, 29719, 44324, 65210, 94642, 135805, 192699, 270822, 377048, 520624, 713123, 969784, 1309646, 1757447, 2343931, 3108553, 4100220, 5380964, 7027376, 9135769, 11824507
(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^7 where p and q are distinct primes.
a(n) = if n <= 7 then A054225(7,n) else A054225(n,7). [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 7 of A054225.
Cf. A005380.
Sequence in context: A014634 A126228 A072251 * A039450 A127069 A095129
Adjacent sequences: A002753 A002754 A002755 * A002757 A002758 A002759
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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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