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A070177 Number of partitions of 10^n. 14

%I #33 Sep 29 2020 04:20:23

%S 1,42,190569292,24061467864032622473692149727991,

%T 36167251325636293988820471890953695495016030339315650422081868605887952568754066420592310556052906916435144

%N Number of partitions of 10^n.

%C The next term a(5)=~2.749351*10^346 is too large to include.

%C Johansson computes the terms up to a(19). - _Charles R Greathouse IV_, Jul 09 2012

%H Robert G. Wilson v, <a href="/A070177/b070177.txt">Table of n, a(n) for n = 0..7</a>

%H Fredrik Johansson, <a href="http://arxiv.org/abs/1205.5991">Efficient implementation of the Hardy-Ramanujan-Rademacher formula</a>, arXiv:1205.5991 [math.NT], 2012, preprint; <a href="https://doi.org/10.1112/S1461157012001088">DOI</a>, LMS J. Comput. Math. 15 (2012) 341-359.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PartitionFunctionP.html">Partition Function P</a>

%F a(n) = A000041(A011557(n)). - _Michel Marcus_, Sep 29 2020

%t Table[ PartitionsP[10^n], {n, 0, 4}] (* _Robert G. Wilson v_, Nov 14 2005 *)

%o (PARI) a(n) = numbpart(10^n); \\ _Michel Marcus_, Oct 03 2014

%Y Cf. A000041, A011557.

%K nonn

%O 0,2

%A _Eric W. Weisstein_, Apr 24 2002

%E More terms from _Vladeta Jovovic_, May 03 2002

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Last modified April 23 15:11 EDT 2024. Contains 371914 sequences. (Running on oeis4.)