|
Search: id:A102247
|
|
|
| A102247 |
|
Number of partitions of n in which each odd part has odd multiplicity and each even part has even multiplicity. |
|
+0
2
|
|
| 1, 1, 0, 2, 2, 3, 2, 4, 7, 8, 8, 10, 17, 17, 20, 26, 39, 39, 46, 56, 77, 85, 96, 116, 154, 172, 190, 234, 289, 328, 364, 440, 532, 610, 670, 808, 957, 1091, 1204, 1432, 1675, 1905, 2110, 2476, 2867, 3255, 3608, 4184, 4837, 5451, 6050, 6960, 7980, 8961, 9972, 11370
(list; graph; listen)
|
|
|
OFFSET
|
0,4
|
|
|
FORMULA
|
G.f.: Product_{i>0} (1+x^(2*i-1)-x^(4*i-2))/(1-x^(2*i)).
|
|
EXAMPLE
|
a(7)=4 because we have 7, 322, 22111, and 1111111.
|
|
MAPLE
|
g:=product((1+x^(2*i-1)-x^(4*i-2))/(1-x^(2*i)), i=1..40): gser:=series(g, x=0, 60): seq(coeff(gser, x, n), n=0..55); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 23 2007
|
|
CROSSREFS
|
Cf. A055922, A117958, A130126, A131942, A100847.
Sequence in context: A144428 A097004 A053023 this_sequence A054249 A141822 A033099
Adjacent sequences: A102244 A102245 A102246 this_sequence A102248 A102249 A102250
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Vladeta Jovovic (vladeta(AT)Eunet.yu), Aug 16 2007
|
|
EXTENSIONS
|
More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 23 2007
|
|
|
Search completed in 0.002 seconds
|
