|
Search: id:A133018
|
|
|
| A133018 |
|
Partition number of n, raised to power n. |
|
+0
1
|
|
| 1, 1, 4, 27, 625, 16807, 1771561, 170859375, 54875873536, 19683000000000, 17080198121677824, 16985107389382393856, 43439888521963583647921, 113809328043328941786781301, 667840509835890864312744140625
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
a(n) = A000041(n)^n
|
|
EXAMPLE
|
a(6)=1771561 because the partition number of 6 is 11 and 11^6=1771561.
|
|
MAPLE
|
A000041 := proc(n) combinat[numbpart](n) ; end: A133018 := proc(n) A000041(n)^n ; end: seq(A133018(n), n=0..18) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 13 2008
|
|
CROSSREFS
|
Cf. A000312, A062457. Partition numbers: A000041.
Sequence in context: A123672 A119030 A120093 this_sequence A104168 A068327 A066842
Adjacent sequences: A133015 A133016 A133017 this_sequence A133019 A133020 A133021
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Omar E. Pol (info(AT)polprimos.com), Oct 31 2007
|
|
EXTENSIONS
|
More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 13 2008
|
|
|
Search completed in 0.002 seconds
|
