cp's OEIS Frontend

A219734 Decimal expansion of 1/s, where s = Sum_{n>=1} 1/p(n), where p(n) is the product of numbers n^2 + 1 to (n+1)^2 - 1.

%I A219734 #14 Feb 14 2021 15:23:41
%S A219734 5,9,7,8,6,3,7,7,6,6,6,1,0,5,4,4,0,9,5,9,7,5,5,6,5,6,2,7,1,8,2,3,0,6,
%T A219734 5,1,3,8,0,1,5,6,4,6,8,3,6,2,5,0,3,8,9,3,7,4,9,4,6,7,9,0,8,8,1,5,3,9,
%U A219734 7,1,5,7,2,1,6,9,3,0,9,2,0,6,3,1,0,9,2,4,0,4,0,6,2,1,2,6,1,7,7,7,4,1,4,3,2
%N A219734 Decimal expansion of 1/s, where s = Sum_{n>=1} 1/p(n), where p(n) is the product of numbers n^2 + 1 to (n+1)^2 - 1.
%C A219734 Decimal expansion of reciprocal of sum of reciprocal of product of numbers between perfect squares.
%e A219734 5.9786377666105440959755656271823065138015646836250...
%p A219734 evalf(1/Sum(GAMMA(n^2+1)/GAMMA((n+1)^2), n=1..infinity), 120); # _Vaclav Kotesovec_, Mar 01 2016
%t A219734 1/NSum[(1/Pochhammer[m^2 + 1, 2 m]), {m, 1, Infinity}, WorkingPrecision -> 105]
%Y A219734 Cf. A219733.
%K A219734 cons,nonn
%O A219734 1,1
%A A219734 _Fred Daniel Kline_, Nov 26 2012