|
Search: id:A002603
|
|
|
| A002603 |
|
A generalized partition function.
(Formerly M4971 N2134)
|
|
+0
1
|
|
| 1, 15, 73, 143, 208, 244, 265, 273, 282, 490, 838, 1426, 2367, 3908, 6356, 10246, 16327, 25812, 40379, 62748, 96660, 147833, 224446, 338584, 507293, 755612, 1118679, 1647023, 2411642, 3513096, 5091511, 7344086, 10543419, 15068833
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
Gupta, Hansraj; A generalization of the partition function. Proc. Nat. Inst. Sci. India 17, (1951). 231-238.
|
|
MAPLE
|
J:= m-> product ((1-x^j)^(-j), j=1..m): a:= t-> coeff (series (J (min(9, t)), x, 1+max(9, t)), x, max(9, t)): seq (a(n), n=1..40); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 20 2009]
|
|
CROSSREFS
|
Sequence in context: A053531 A000476 A105451 this_sequence A022817 A080841 A022675
Adjacent sequences: A002600 A002601 A002602 this_sequence A002604 A002605 A002606
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
EXTENSIONS
|
More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 20 2009
|
|
|
Search completed in 0.002 seconds
|
