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.
%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