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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A035364 Number of partitions of n into parts 4k or 4k+3. 0
0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 4, 4, 2, 5, 8, 7, 5, 10, 14, 12, 11, 19, 24, 22, 21, 33, 41, 37, 38, 58, 67, 62, 68, 95, 108, 103, 114, 155, 172, 166, 188, 246, 268, 264, 303, 384, 413, 415, 477, 588, 630, 640, 737, 893, 948, 975, 1125, 1333, 1412, 1470, 1688 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,7

LINKS

Table of n, a(n) for n=1..61.

FORMULA

a(n) ~ exp(Pi*sqrt(n/3)) * (2/Pi)^(1/4) * Gamma(7/4) / (3 * 3^(5/8) * n^(9/8)). - Vaclav Kotesovec, Aug 27 2015

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(4k+4))*(1 - x^(4k+3))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)

CROSSREFS

Sequence in context: A217680 A144218 A098691 * A261734 A209308 A143808

Adjacent sequences:  A035361 A035362 A035363 * A035365 A035366 A035367

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified February 23 23:56 EST 2018. Contains 299595 sequences. (Running on oeis4.)