|
Search: id:A071746
|
|
|
| A071746 |
|
p(7n+5)/7 where p(k) denotes the k-th partition number. |
|
+0
2
|
|
| 1, 11, 70, 348, 1449, 5334, 17822, 55165, 160215, 441105, 1159752, 2929465, 7142275, 16873472, 38749850, 86737678, 189672868, 405991500, 852077072, 1756048833, 3558408287, 7098041203, 13951818365, 27047831797, 51760979985
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
One of the congruences related to the partition numbers stated by Ramanujan.
|
|
REFERENCES
|
Berndt and Rankin, "Ramanujan: letters and commentaries", AMS-LMS, History of mathematics, vol. 9, pp. 192-193.
|
|
FORMULA
|
a(n) = (1/7)*A000041(7n+5)
|
|
PROGRAM
|
(PARI) a(n)=if(n<0, 0, n=7*n+5; polcoeff(1/eta(x+x*O(x^n)), n)/7)
(PARI) {a(n)=local(A, B); if(n<0, 0, A=x*O(x^n); B=eta(x^7+A); A=eta(x+A); polcoeff( B^3/A^4 +x*7*B^7/A^8, n))} /* Michael Somos Jan 01 2006 */
|
|
CROSSREFS
|
Cf. A017041, A071734, A076394.
Sequence in context: A066433 A038741 A099336 this_sequence A117047 A089720 A139850
Adjacent sequences: A071743 A071744 A071745 this_sequence A071747 A071748 A071749
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 24 2002
|
|
|
Search completed in 0.002 seconds
|
