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A000334
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Number of 4-dimensional partitions of n.
(Formerly M3858 N1580)
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7
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1, 5, 15, 45, 120, 326, 835, 2145, 5345, 13220, 32068, 76965, 181975, 425490, 982615, 2245444, 5077090, 11371250, 25235790, 55536870, 121250185, 262769080, 565502405, 1209096875, 2569270050, 5427963902, 11404408525
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| A. O. L. Atkin, P. Bratley, I. G. McDonald and J. K. S. McKay, Some computations for m-dimensional partitions, Proc. Camb. Phil. Soc., 63 (1967), 1097-1100.
S. P. Naveen, On The Asymptotics of Some Counting Problems in Physics, Thesis, Bachelor of Technology, DEPARTMENT OF PHYSICS, INDIAN INSTITUTE OF TECHNOLOGY, MADRAS, May 2011; http://www.physics.iitm.ac.in/~suresh/theses/NaveenThesis.pdf
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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LINKS
| Suresh Govindarajan, Table of n, a(n) for n = 1..40
S. Balakrishnan, S. Govindarajan and N. S. Prabhakar, On the asymptotics of higher-dimensional partitions, arXiv:1105.6231
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CROSSREFS
| Cf. A000293, A000390.
Sequence in context: A094283 A158875 A022813 * A000335 A200465 A084244
Adjacent sequences: A000331 A000332 A000333 * A000335 A000336 A000337
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KEYWORD
| nonn,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Nov 14 2010
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