|
| |
|
|
A144109
|
|
INVERT transform of the cubes A000578.
|
|
0
| |
|
|
1, 9, 44, 207, 991, 4752, 22769, 109089, 522676, 2504295, 11998799, 57489696, 275449681, 1319758713, 6323343884, 30296960703, 145161459631, 695510337456, 3332390227649, 15966440800785, 76499813776276, 366532628080599
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
COMMENTS
| Analog of A033453 (INVERT squares) and A001906 (INVERT first powers).
For n>1, a(n-1) is the number of generalized compositions of n when there are i^3 different types of i, (i=1,2,...). [From Milan R. Janjic (agnus(AT)blic.net), Sep 24 2010]
|
|
|
FORMULA
| G.f.: (1+4x+x^2)/((1+x^2)(1-5x+x^2)). a(n) = (9*A004254(n+1)-4*A056594(n))/5.
|
|
|
CROSSREFS
| Sequence in context: A074631 A084903 A034558 * A099867 A104470 A084016
Adjacent sequences: A144106 A144107 A144108 * A144110 A144111 A144112
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 11 2008
|
| |
|
|
