A002222 a(n) is the number of partitions of 5n that can be obtained by adding together five (not necessarily distinct) partitions of n. (Formerly M4147 N1722)

1, 6, 21, 91, 266, 994, 2562, 7764, 19482, 51212, 116028, 288541, 612463, 1375609, 2862437, 6036606, 11846488, 24080685, 45506290

Offset

1,2

References

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

Table of n, a(n) for n=1..19.

N. Metropolis and P. R. Stein, An elementary solution to a problem in restricted partitions, J. Combin. Theory, 9 (1970), 365-376.

Crossrefs

See A002219 for further details. Cf. A000041, A002220, A002221, A213074.

A column of A213086.

Sequence in context: A137966 A304187 A005498 * A290355 A006359 A001553

Adjacent sequences: A002219 A002220 A002221 * A002223 A002224 A002225

Keyword

nonn,more

Author

N. J. A. Sloane

Extensions

Edited by N. J. A. Sloane, Jun 03 2012

a(12)-a(13) from Alois P. Heinz, Jul 10 2012

a(14)-a(19) from Sean A. Irvine, Sep 06 2013

Status

approved