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.

A337299 Expansion of Product_{k>0} (1 - 2^(k-1)*x^k).

This page as a plain text file.
%I A337299 #15 Aug 23 2020 02:33:32
%S A337299 1,-1,-2,-2,-4,0,-8,16,0,64,64,384,0,1536,1024,3072,2048,16384,-8192,
%T A337299 49152,-32768,32768,-65536,262144,-1835008,524288,-3145728,-6291456,
%U A337299 -18874368,-4194304,-117440512,-16777216,-301989888,-469762048,-671088640,-805306368,-6710886400,536870912
%N A337299 Expansion of Product_{k>0} (1 - 2^(k-1)*x^k).
%C A337299 This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -1, g(n) = 2^(n-1).
%H A337299 Seiichi Manyama, <a href="/A337299/b337299.txt">Table of n, a(n) for n = 0..1000</a>
%t A337299 m = 37; CoefficientList[Series[Product[1 - 2^(k - 1)*x^k, {k, 1, m}], {x, 0, m}], x] (* _Amiram Eldar_, Aug 22 2020 *)
%o A337299 (PARI) N=40; x='x+O('x^N); Vec(prod(k=1, N, 1-2^(k-1)*x^k))
%Y A337299 Convolution inverse of A075900.
%Y A337299 Cf. A266964, A304961.
%K A337299 sign
%O A337299 0,3
%A A337299 _Seiichi Manyama_, Aug 22 2020