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A092313 Sum of smallest parts (counted with multiplicity) of all partitions of n into odd parts. 9
1, 2, 6, 5, 12, 16, 21, 22, 43, 46, 60, 75, 92, 119, 164, 167, 220, 276, 320, 390, 491, 562, 665, 796, 949, 1109, 1342, 1530, 1804, 2144, 2442, 2843, 3342, 3837, 4471, 5147, 5894, 6780, 7841, 8910, 10204, 11718, 13282, 15168, 17337, 19594, 22225, 25210 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..48.

FORMULA

G.f.: Sum((2*n-1)*x^(2*n-1)/(1-x^(2*n-1))/Product(1-x^(2*k-1), k = n .. infinity), n = 1 .. infinity).

EXAMPLE

Partitions of 6 into odd parts are: [1,1,1,1,1,1], [1,1,1,3], [3,3], [1,5]; thus a(6)=6*1+3*1+2*3+1*1=16.

CROSSREFS

Cf. A092314 A092322 A092269 A092309 A092321 A092310 A092311 A092268

Sequence in context: A211201 A179627 A193977 * A230383 A009460 A085205

Adjacent sequences:  A092310 A092311 A092312 * A092314 A092315 A092316

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Feb 16 2004

EXTENSIONS

More terms from Pab Ter (pabrlos(AT)yahoo.com), May 25 2004

STATUS

approved

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Last modified December 5 07:11 EST 2016. Contains 278761 sequences.