|
Search: id:A000716
|
|
|
| A000716 |
|
Number of partitions of n into parts of 3 kinds.
(Formerly M2788 N1123)
|
|
+0
6
|
|
| 1, 3, 9, 22, 51, 108, 221, 429, 810, 1479, 2640, 4599, 7868, 13209, 21843, 35581, 57222, 90882, 142769, 221910, 341649, 521196, 788460, 1183221, 1762462, 2606604, 3829437, 5590110, 8111346, 11701998, 16790136
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
REFERENCES
|
H. Gupta et al., Tables of Partitions. Royal Society Mathematical Tables, Vol. 4, Cambridge Univ. Press, 1958, p. 122.
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n=0..500
Index entries for expansions of Product_{k >= 1} (1-x^k)^m
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 391
N. J. A. Sloane, Transforms
|
|
FORMULA
|
G.f.: Product_{m>=1} 1/(1-x^m)^3.
EULER transform of 3, 3, 3, 3, 3, 3, 3, 3...
|
|
PROGRAM
|
(PARI) \ps100 for(n=0, 100, print1((polcoeff(1/eta(x)^3, n, x)), ", "))
|
|
CROSSREFS
|
Cf. A000713.
Adjacent sequences: A000713 A000714 A000715 this_sequence A000717 A000718 A000719
Sequence in context: A034505 A000711 A121589 this_sequence A001628 A099166 A054442
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
njas
|
|
EXTENSIONS
|
Extended with formula from Christian G. Bower (bowerc(AT)usa.net), Apr 15 1998.
|
|
|
Search completed in 0.002 seconds
|
