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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A035434 Number of partitions of n into parts 7k+2 or 7k+6. 0
0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 3, 2, 3, 3, 4, 3, 6, 4, 7, 5, 9, 6, 11, 8, 13, 11, 15, 14, 18, 17, 22, 21, 26, 25, 33, 29, 39, 36, 46, 43, 55, 52, 63, 64, 74, 75, 88, 89, 103, 104, 122, 121, 144, 142, 167, 167, 193, 196, 224, 229, 258, 268, 298, 309, 347, 356, 400, 412 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

LINKS

Table of n, a(n) for n=1..69.

FORMULA

a(n) ~ exp(2*Pi*sqrt(n/21)) * Gamma(2/7) * Gamma(6/7) / (4 * 3^(9/28) * 7^(5/28) * Pi^(6/7) * n^(23/28)). - Vaclav Kotesovec, Aug 26 2015

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(7k+2))*(1 - x^(7k+6))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 26 2015 *)

CROSSREFS

Sequence in context: A219198 A025814 A029354 * A029223 A305576 A129679

Adjacent sequences:  A035431 A035432 A035433 * A035435 A035436 A035437

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 2 07:40 EST 2020. Contains 338868 sequences. (Running on oeis4.)