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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.

A112345 Number of partitions of n into distinct perfect powers.

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%I A112345 #13 Feb 16 2025 08:32:59
%S A112345 1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,2,0,1,1,2,0,1,1,2,
%T A112345 1,1,3,2,1,1,3,2,1,1,3,3,1,1,3,4,1,1,4,4,1,1,4,4,2,1,4,6,2,2,4,6,2,2,
%U A112345 4,6,3,2,5,6,4,2,6,6,4,2,6,7,4,3,6,9,4,3,7,9,5,3,7,9,6,3,7,10,6,3,8,11,6,3,8
%N A112345 Number of partitions of n into distinct perfect powers.
%H A112345 Vaclav Kotesovec, <a href="/A112345/b112345.txt">Table of n, a(n) for n = 0..10000</a>
%H A112345 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PerfectPower.html">Perfect Power</a>
%H A112345 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Partition.html">Partition</a>
%F A112345 G.f.: Product_{k>=2} (1 + x^A001597(k)). - _Ilya Gutkovskiy_, Mar 21 2017
%e A112345 a(40) = #{36+4, 32+8, 27+9+4} = 3.
%Y A112345 Cf. A001597, A000009, A033461, A039966, A112344, A284171.
%K A112345 nonn
%O A112345 0,26
%A A112345 _Reinhard Zumkeller_, Sep 05 2005
%E A112345 a(0)=1 prepended by _Ilya Gutkovskiy_, Mar 21 2017