cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A347574 Number of partitions of n into 7 or more distinct parts.

This page as a plain text file.
%I A347574 #8 Sep 08 2021 16:13:02
%S A347574 1,1,2,3,5,7,11,15,22,29,40,52,70,89,116,146,186,231,289,354,437,530,
%T A347574 645,775,934,1112,1327,1569,1856,2179,2559,2985,3483,4040,4684,5406,
%U A347574 6235,7160,8218,9396,10735,12225,13910,15780,17888,20223,22842,25742,28983,32562
%N A347574 Number of partitions of n into 7 or more distinct parts.
%H A347574 Chai Wah Wu, <a href="/A347574/b347574.txt">Table of n, a(n) for n = 28..10000</a>
%F A347574 G.f.: Sum_{k>=7} x^(k*(k + 1)/2) / Product_{j=1..k} (1 - x^j).
%t A347574 nmax = 77; CoefficientList[Series[Sum[x^(k (k + 1)/2)/Product[(1 - x^j), {j, 1, k}], {k, 7, nmax}], {x, 0, nmax}], x] // Drop[#, 28] &
%Y A347574 Cf. A111133, A347548, A347549, A347572, A347573, A347575, A347576, A347577.
%K A347574 nonn
%O A347574 28,3
%A A347574 _Ilya Gutkovskiy_, Sep 07 2021