|
| |
|
|
A097941
|
|
Total number of smallest parts in all compositions of n.
|
|
1
| |
|
|
1, 3, 6, 15, 31, 72, 155, 340, 738, 1595, 3424, 7335, 15642, 33243, 70432, 148808, 313571, 659188, 1382682, 2894369, 6047397, 12613209, 26265098, 54610722, 113387831, 235117449, 486933645, 1007290340, 2081469759, 4296789924
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
FORMULA
| G.f.: (1-x)^2*Sum(x^k/(1-x-x^k)^2, k=1..infinity).
|
|
|
MATHEMATICA
| Drop[ CoefficientList[ Series[(1 - x)^2*Sum[x^k/(1 - x - x^k)^2, {k, 50}], {x, 0, 30}], x], 1] (from Robert G. Wilson v Sep 08 2004)
|
|
|
CROSSREFS
| Cf. A092269.
Sequence in context: A141023 A126982 A034739 * A117161 A006961 A034740
Adjacent sequences: A097938 A097939 A097940 * A097942 A097943 A097944
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 05 2004
|
|
|
EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 08 2004
|
| |
|
|
