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.

A365126 Number of representations of n as the sum of a prime number and a fourth power of a nonnegative integer.

This page as a plain text file.
%I A365126 #23 Aug 30 2023 21:27:00
%S A365126 0,1,2,1,1,1,1,1,0,0,1,1,1,1,0,0,1,2,2,1,1,0,2,1,0,0,1,0,2,1,1,1,1,0,
%T A365126 1,0,1,1,1,0,1,1,1,1,1,0,2,1,0,0,0,0,2,1,0,0,1,0,2,1,1,1,1,0,0,0,1,1,
%U A365126 1,0,1,1,1,1,1,0,1,0,1,1,0,0,3,2,0,1,1,1,2,1,0,1,0,1,1,0,1,2,1,1,1,1,1,2,1,0,1,1,1,2,0,1,2,1,0,0,1,1,1
%N A365126 Number of representations of n as the sum of a prime number and a fourth power of a nonnegative integer.
%F A365126 G.f.: (Sum_{i>=1} x^prime(i)) * (Sum_{j>=0} x^(j^4)).
%t A365126 nmax = 120; CoefficientList[Series[Sum[x^Prime[i], {i, 1, nmax}] Sum[x^j^4, {j, 0, nmax^(1/4)}], {x, 0, nmax}], x] // Rest
%Y A365126 Cf. A002471, A302354, A365127, A365166, A365167.
%K A365126 nonn
%O A365126 1,3
%A A365126 _Ilya Gutkovskiy_, Aug 24 2023