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.

A319335 Numerator of the average of the averages of all integer partitions of n.

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%I A319335 #14 Jan 14 2024 00:14:52
%S A319335 1,3,11,31,187,131,247,1993,4463,3635,395077,24441,81149,10414421,
%T A319335 12868591,10764151,61170133,419426561,353495183,3429826973,
%U A319335 29219934899,5110021867,142319532929,606916707064,87086496509,4426308633083,15954910019953,38414031851849
%N A319335 Numerator of the average of the averages of all integer partitions of n.
%H A319335 Andrew Howroyd, <a href="/A319335/b319335.txt">Table of n, a(n) for n = 1..500</a>
%e A319335 The sequence of average averages begins: 1, 3/2, 11/6, 31/15, 187/84, 131/55, 247/100, 1993/770, 4463/1680, 3635/1323.
%t A319335 Table[Numerator[Mean[Mean/@IntegerPartitions[n]]],{n,20}]
%o A319335 (PARI) seq(n)={[numerator(poldegree(p)*subst(intformal(p/y)/p, y, 1)) | p <- Vec(-1+1/prod(k=1, n, 1 - x^k*y + O(x*x^n)))]} \\ _Andrew Howroyd_, Sep 19 2018
%Y A319335 Denominators are in A319336.
%Y A319335 Cf. A056239, A067538, A237984, A296150, A316313, A316314, A316440.
%K A319335 nonn,frac
%O A319335 1,2
%A A319335 _Gus Wiseman_, Sep 17 2018