The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A320694 Number of partitions of n with up to seven distinct kinds of 1. 2
 1, 7, 22, 43, 65, 93, 137, 201, 287, 401, 552, 751, 1010, 1344, 1774, 2323, 3017, 3893, 4995, 6370, 8078, 10195, 12809, 16023, 19958, 24761, 30613, 37720, 46317, 56693, 69192, 84207, 102200, 123715, 149384, 179947, 216265, 259338, 310333, 370593, 441667 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..10000 FORMULA a(n) ~ Pi * 2^(9/2) * exp(Pi*sqrt(2*n/3)) / (3 * n^(3/2)). - Vaclav Kotesovec, Oct 24 2018 G.f.: (1 + x)^7 * Product_{k>=2} 1 / (1 - x^k). - Ilya Gutkovskiy, Apr 24 2021 MAPLE b:= proc(n, i) option remember; `if`(n=0 or i=1,       binomial(7, n), `if`(i>n, 0, b(n-i, i))+b(n, i-1))     end: a:= n-> b(n\$2): seq(a(n), n=0..60); CROSSREFS Column k=7 of A292622. Sequence in context: A275642 A171441 A341401 * A261465 A033954 A159227 Adjacent sequences:  A320691 A320692 A320693 * A320695 A320696 A320697 KEYWORD nonn AUTHOR Alois P. Heinz, Oct 19 2018 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.

Last modified January 27 10:00 EST 2022. Contains 350607 sequences. (Running on oeis4.)