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.

A362423 Number of partitions of n into 3 perfect powers (A001597).

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%I A362423 #8 Feb 16 2025 08:34:05
%S A362423 0,0,0,1,0,0,1,0,0,1,1,1,1,1,1,0,1,2,2,1,1,2,1,0,2,2,2,2,1,2,1,0,2,3,
%T A362423 3,2,2,3,2,1,3,4,3,2,4,4,1,1,3,4,2,3,3,3,3,1,3,3,4,3,3,4,3,2,2,4,5,3,
%U A362423 4,4,2,1,4,5,2,3,3,5,1,2,4,5,4,2,4,2,4,0,3,5,5,2
%N A362423 Number of partitions of n into 3 perfect powers (A001597).
%H A362423 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PerfectPower.html">Perfect Power</a>.
%t A362423 perfectPowerQ[n_] := n == 1 || GCD @@ FactorInteger[n][[;; , 2]] > 1; a[n_] := Count[IntegerPartitions[n, {3}], _?(AllTrue[#, perfectPowerQ] &)]; Array[a, 100, 0] (* _Amiram Eldar_, May 05 2023 *)
%Y A362423 Cf. A001597, A362422.
%K A362423 nonn
%O A362423 0,18
%A A362423 _Ilya Gutkovskiy_, Apr 19 2023