login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A035438 Number of partitions of n into parts 7k+4 or 7k+5. 0
0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 3, 2, 2, 3, 4, 3, 4, 5, 6, 5, 6, 7, 8, 8, 10, 10, 11, 12, 14, 15, 17, 18, 20, 20, 24, 26, 28, 29, 34, 36, 38, 41, 48, 50, 53, 57, 65, 67, 73, 80, 88, 91, 99, 108, 118, 123, 135, 145, 156, 165, 181, 192, 207, 221, 240, 253, 273, 292 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,12

LINKS

Table of n, a(n) for n=1..73.

FORMULA

a(n) ~ exp(2*Pi*sqrt(n/21)) * Gamma(4/7) * Gamma(5/7) / (4 * 3^(11/28) * 7^(3/28) * Pi^(5/7) * n^(25/28)). - Vaclav Kotesovec, Aug 26 2015

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(7k+4))*(1 - x^(7k+5))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 26 2015 *)

CROSSREFS

Sequence in context: A246552 A161091 A027347 * A029260 A205725 A091093

Adjacent sequences:  A035435 A035436 A035437 * A035439 A035440 A035441

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 1 10:28 EST 2021. Contains 349427 sequences. (Running on oeis4.)