|
| |
|
|
A103421
|
|
Number of compositions of n in which the greatest part is odd.
|
|
2
| |
|
|
1, 1, 2, 3, 7, 14, 30, 62, 129, 263, 534, 1076, 2160, 4318, 8612, 17145, 34097, 67764, 134638, 267506, 531606, 1056812, 2101854, 4182462, 8327263, 16588973, 33066080, 65945522, 131588128, 262702054, 524699094, 1048433468, 2095744336
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
FORMULA
| G.f.: Sum((1-x)^2*x^(2*n-1)/((1-2*x+x^(2*n-1))*(1-2*x+x^(2*n))), n=1..infinity).
|
|
|
MATHEMATICA
| Rest[ CoefficientList[ Series[ Expand[ Sum[(1 - x)^2*x^(2n - 1)/((1 - 2x + x^(2n - 1))*(1 - 2x + x^(2n))), {n, 35}]], {x, 0, 35}], x]] (from Robert G. Wilson v Feb 05 2005)
|
|
|
CROSSREFS
| Cf. A103419, A103420, A103422, A027187, A027193, A026804, A026805.
Sequence in context: A192570 A019595 A112884 * A205484 A151530 A180752
Adjacent sequences: A103418 A103419 A103420 * A103422 A103423 A103424
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 04 2005
|
|
|
EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 05 2005
|
| |
|
|
