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A092316 Sum of largest parts of all partitions of n into odd distinct parts. 3
1, 0, 3, 3, 5, 5, 7, 12, 14, 16, 18, 27, 29, 33, 42, 55, 59, 65, 78, 95, 110, 118, 137, 167, 188, 200, 236, 274, 303, 330, 376, 435, 485, 522, 591, 677, 741, 803, 903, 1022, 1115, 1210, 1345, 1505, 1650, 1784, 1964, 2201, 2393, 2578, 2843, 3143, 3409, 3685, 4034 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

REFERENCES

Knopfmacher, Arnold and Robbins, Neville, Identities for the total number of parts in partitions of integers. Util. Math. 67 (2005), 9-18.

LINKS

Table of n, a(n) for n=1..55.

FORMULA

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

MATHEMATICA

nmax = 50; Rest[CoefficientList[Series[Sum[(2*k - 1)*x^(2*k - 1) * Product[1 + x^(2*j - 1), {j, 1, k - 1}], {k, 1, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Jun 28 2016 *)

CROSSREFS

Cf. A092319.

Sequence in context: A087715 A237714 A245145 * A142456 A098508 A051593

Adjacent sequences:  A092313 A092314 A092315 * A092317 A092318 A092319

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Feb 15 2004

EXTENSIONS

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

STATUS

approved

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Last modified August 28 19:03 EDT 2016. Contains 275935 sequences.