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A085360 Partial sums of A026905; the convolution of the natural numbers with the partition function. 2
1, 4, 10, 21, 39, 68, 112, 178, 274, 412, 606, 877, 1249, 1756, 2439, 3353, 4564, 6160, 8246, 10959, 14464, 18971, 24733, 32070, 41365, 53096, 67837, 86296, 109320, 137948 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..30.

Jon Perry, More Partition Function

FORMULA

a(n) = A086716(n) - A086716(n-1). - Vaclav Kotesovec, Jun 23 2015

a(n) ~ sqrt(3) * exp(Pi*sqrt(2*n/3)) / (2*Pi^2). - Vaclav Kotesovec, Jun 23 2015

EXAMPLE

a(4) = A026905(1) + A026905(2) + A026905(3) + A026905(4) = 1 + 3 + 6 + 11 = 21.

MATHEMATICA

s1=s2=0; lst={}; Do[AppendTo[lst, s2+=s1+=PartitionsP[n]], {n, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jul 16 2009 *)

CROSSREFS

Cf. A026905.

Sequence in context: A216172 A055908 A023538 * A265050 A243738 A258352

Adjacent sequences:  A085357 A085358 A085359 * A085361 A085362 A085363

KEYWORD

nonn

AUTHOR

Jon Perry, Jun 25 2003

STATUS

approved

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Last modified February 16 08:26 EST 2019. Contains 320159 sequences. (Running on oeis4.)