

A000334


Number of 4dimensional partitions of n.
(Formerly M3858 N1580)


7



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
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OFFSET

1,2


REFERENCES

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).


LINKS

Suresh Govindarajan, Table of n, a(n) for n = 1..40
A. O. L. Atkin, P. Bratley, I. G. McDonald and J. K. S. McKay, Some computations for mdimensional partitions, Proc. Camb. Phil. Soc., 63 (1967), 10971100. [Annotated scanned copy], DOI
S. Balakrishnan, S. Govindarajan and N. S. Prabhakar, On the asymptotics of higherdimensional partitions, arXiv:1105.6231


CROSSREFS

Cf. A000293 (3dim), A000390 (5dim).
Sequence in context: A094283 A158875 A022813 * A000335 A271180 A200465
Adjacent sequences: A000331 A000332 A000333 * A000335 A000336 A000337


KEYWORD

nonn,nice


AUTHOR

N. J. A. Sloane


EXTENSIONS

More terms from Sean A. Irvine, Nov 14 2010


STATUS

approved



