|
Search: id:A070215
|
|
|
| A070215 |
|
Number of partitions of the n-th prime comprising distinct prime summands only. |
|
+0
3
|
|
| 1, 1, 2, 2, 1, 2, 2, 3, 5, 7, 9, 11, 14, 15, 19, 26, 35, 39, 50, 61, 67, 87, 102, 130, 178, 204, 224, 257, 278, 320, 522, 595, 724, 776, 1064, 1136, 1364, 1634, 1836, 2192, 2601, 2761, 3645, 3863, 4294, 4549, 6262, 8558, 9453, 9964, 11001, 12774, 13438
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
LINKS
|
Seth Troisi, Table of n, a(n) for n=1..1201
|
|
FORMULA
|
a(n) = A000586[A000040(n)]. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 30 2007
|
|
EXAMPLE
|
With the 10-th prime 29, for instance, we have a(10)=7 distinct-prime partitions, viz. 29=2 + 3 + 7 + 17=2 + 3 + 5 + 19=2 + 3 + 11 + 13=3 + 7 + 19=5 + 7 + 17=5 + 11 + 13.
|
|
CROSSREFS
|
Cf. A000586.
Sequence in context: A112175 A112206 A038541 this_sequence A071457 A115034 A027869
Adjacent sequences: A070212 A070213 A070214 this_sequence A070216 A070217 A070218
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Lekraj Beedassy (blekraj(AT)yahoo.com), May 07 2002
|
|
EXTENSIONS
|
More terms from Naohiro Nomoto (n_nomoto(AT)yabumi.com) and Don Reble (djr(AT)nk.ca), May 11 2002
Offset in b-file corrected by N. J. A. Sloane, Aug 31 2009
|
|
|
Search completed in 0.002 seconds
|
