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.

A300584 Number of partitions of n into distinct prime power parts (not including 1) that do not divide n.

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%I A300584 #4 Mar 09 2018 21:15:46
%S A300584 1,0,0,0,0,1,0,2,1,2,1,4,1,5,2,4,3,8,2,11,4,6,6,18,3,13,10,10,8,35,7,
%T A300584 42,9,20,24,22,10,72,33,35,11,102,21,120,29,26,65,161,16,117,56,93,52,
%U A300584 246,43,113,36,139,160,370,39,422,208,102,62,216,110,613,145,305,130,780,57,878
%N A300584 Number of partitions of n into distinct prime power parts (not including 1) that do not divide n.
%H A300584 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%e A300584 a(9) = 2 because we have [7, 2] and [5, 4].
%t A300584 Table[SeriesCoefficient[Product[(1 + Boole[Mod[n, k] != 0 && PrimePowerQ[k]] x^k), {k, 1, n}], {x, 0, n}], {n, 0, 73}]
%Y A300584 Cf. A054685, A200745, A209402, A246655, A300580.
%K A300584 nonn
%O A300584 0,8
%A A300584 _Ilya Gutkovskiy_, Mar 09 2018