|
| |
|
|
A097936
|
|
Total number of parts in all compositions of n into distinct odd parts.
|
|
1
| |
|
|
1, 0, 1, 4, 1, 4, 1, 8, 19, 8, 19, 12, 37, 12, 55, 112, 73, 112, 91, 212, 127, 308, 145, 504, 781, 600, 817, 892, 1453, 1084, 2089, 1472, 3343, 1760, 4579, 6564, 6433, 6948, 8287, 11944, 11341, 16744, 14395, 26156, 18667, 35468, 22921, 53712, 64273, 67440
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,4
|
|
|
FORMULA
| Sum_{k>0} (k*k!*x^(k^2)/Product_{j=1..k} (1-x^(2*j))).
|
|
|
MATHEMATICA
| Drop[ CoefficientList[ Series[um[k*k!*x^k^2/Product[1 - x^(2j), {j, 1, k}], {k, 1, 55}], {x, 0, 50}], x], 1] (from Robert G. Wilson v Sep 08 2004)
|
|
|
CROSSREFS
| Cf. A097910, A079499, A032021.
Sequence in context: A193254 A193454 A089655 * A050338 A077088 A156896
Adjacent sequences: A097933 A097934 A097935 * A097937 A097938 A097939
|
|
|
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
|
| |
|
|
