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A319363 a(n) = [x^n] exp(Sum_{k>=1} sigma(k^n)*x^k/k). 2

%I #8 Sep 09 2020 09:55:55

%S 1,1,4,21,296,5677,291348,22679763,3946629792,1281287791090,

%T 840017139222515,1068253745514088673,2745322115165570881474,

%U 14006438682727577999625359,141884380264686466724199980066,2897075017978846591982107951045864,118770312781918226439371316982748736112

%N a(n) = [x^n] exp(Sum_{k>=1} sigma(k^n)*x^k/k).

%H Seiichi Manyama, <a href="/A319363/b319363.txt">Table of n, a(n) for n = 0..80</a>

%t Table[SeriesCoefficient[Exp[Sum[DivisorSigma[1, k^n] x^k/k, {k, 1, n}]], {x, 0, n}], {n, 0, 16}]

%Y Cf. A000041, A156303, A156304, A202993, A203557, A319362.

%K nonn

%O 0,3

%A _Ilya Gutkovskiy_, Sep 17 2018

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Last modified August 3 19:06 EDT 2024. Contains 374901 sequences. (Running on oeis4.)