login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A035367 Number of partitions of n into parts 5k or 5k+1. 1
1, 1, 1, 1, 2, 3, 3, 3, 3, 5, 7, 8, 8, 8, 11, 15, 17, 18, 18, 23, 30, 35, 37, 38, 45, 57, 66, 71, 73, 85, 104, 121, 131, 136, 153, 184, 212, 231, 241, 268, 315, 363, 396, 416, 456, 528, 603, 661, 696, 758, 865, 984, 1078, 1141, 1233, 1392, 1572, 1724, 1828, 1970 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..60.

FORMULA

a(n) ~ exp(2*Pi*sqrt(n/15)) * Gamma(1/5) / (4 * 3^(7/20) * 5^(3/20) * Pi^(4/5) * n^(17/20)). - Vaclav Kotesovec, Aug 27 2015

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(5k+5))*(1 - x^(5k+1))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)

CROSSREFS

Sequence in context: A029088 A253591 A129263 * A042959 A147815 A227246

Adjacent sequences:  A035364 A035365 A035366 * A035368 A035369 A035370

KEYWORD

nonn

AUTHOR

Olivier Gérard

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 6 06:34 EST 2019. Contains 329784 sequences. (Running on oeis4.)