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.

A174774 Sum of the numerators for computing the third moment of the probability mass function for probability of k pairs among the involutions on n elements (A000085) assuming equal likelihood.

This page as a plain text file.
%I A174774 #17 Aug 12 2013 02:56:00
%S A174774 0,1,3,30,130,780,3696,19768,97560,510660,2603260,13754136,72333768,
%T A174774 390339040,2116922640,11722194240,65521880896,372897624528,
%U A174774 2146502657520,12558129505120,74371827119520,447090649997376
%N A174774 Sum of the numerators for computing the third moment of the probability mass function for probability of k pairs among the involutions on n elements (A000085) assuming equal likelihood.
%H A174774 Wikipedia, <a href="http://en.wikipedia.org/wiki/Probability_mass_function">Probability Mass Function</a>
%F A174774 a(n)=Sum_{k=0..[ n/2 ]} k^3*n!/((n-2*k)!*2^k*k!).
%o A174774 (PARI) a(n) = sum(k=0, n\2 ,k^3*n!/((n-2*k)!*2^k*k!)); \\ _Michel Marcus_, Aug 10 2013
%Y A174774 First moment numerators are given by A162970.  The denominator is given by A000085.
%K A174774 nonn
%O A174774 1,3
%A A174774 _Rajan Murthy_, Nov 30 2010
%E A174774 Corrected, and more terms from _Michel Marcus_, Aug 10 2013