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.

A300547 a(n) = [x^n] Product_{d|n} (1 - x^d).

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%I A300547 #10 Sep 25 2018 20:51:17
%S A300547 1,-1,-1,-1,-1,-1,-2,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,-1,-1,
%T A300547 -1,0,-1,-1,-1,-2,-1,-2,-1,-1,-1,-1,-1,-2,-1,-1,-1,0,-1,-1,-1,-1,-1,
%U A300547 -1,-1,-3,-1,-1,-1,-1,-1,-2,-1,-1,-1,-1,-1,-5,-1,-1,-1,-1,-1,-3,-1,-1,-1,-1,-1,0,-1,-1,-1,-1,-1,-2,-1,1,-1,-1,-1,-2,-1
%N A300547 a(n) = [x^n] Product_{d|n} (1 - x^d).
%H A300547 Antti Karttunen, <a href="/A300547/b300547.txt">Table of n, a(n) for n = 0..65537</a>
%H A300547 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%t A300547 Table[SeriesCoefficient[Product[(1 - Boole[Mod[n, k] == 0] x^k), {k, 1, n}], {x, 0, n}], {n, 0, 85}]
%o A300547 (PARI) A300547(n) = { if(!n,return(1)); my(p=1); fordiv(n,d, p *= (1 - 'x^d)); polcoeff(p,n); }; \\ _Antti Karttunen_, Sep 25 2018
%Y A300547 Cf. A010815, A018818, A033630, A293814, A300548, A300549.
%K A300547 sign,look
%O A300547 0,7
%A A300547 _Ilya Gutkovskiy_, Mar 08 2018