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.

A290137 Number of compositions (ordered partitions) of n into nonprime squarefree parts (A000469).

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%I A290137 #5 Jul 21 2017 05:33:33
%S A290137 1,1,1,1,1,1,2,3,4,5,7,9,12,16,22,30,41,55,73,96,128,173,235,317,426,
%T A290137 570,763,1023,1375,1848,2484,3337,4482,6017,8077,10843,14562,19560,
%U A290137 26276,35292,47392,63632,85443,114741,154098,206957,277941,373254,501244,673121,903945,1213935,1630246,2189330
%N A290137 Number of compositions (ordered partitions) of n into nonprime squarefree parts (A000469).
%H A290137 <a href="/index/Com#comp">Index entries for sequences related to compositions</a>
%F A290137 G.f.: 1/(1 - Sum_{k>=1} x^A000469(k)).
%e A290137 a(8) = 4 because we have [6, 1, 1], [1, 6, 1], [1, 1, 6] and [1, 1, 1, 1, 1, 1, 1, 1].
%t A290137 nmax = 53; CoefficientList[Series[1/(1 - Sum[Boole[SquareFreeQ[k] && PrimeNu[k] != 1] x^k, {k, 1, nmax}]), {x, 0, nmax}], x]
%Y A290137 Cf. A000469, A239508, A239509, A280194.
%K A290137 nonn
%O A290137 0,7
%A A290137 _Ilya Gutkovskiy_, Jul 20 2017