

A219733


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


1



1, 6, 7, 2, 6, 2, 1, 8, 2, 2, 9, 5, 9, 0, 5, 8, 0, 9, 8, 7, 8, 6, 3, 8, 8, 2, 0, 5, 6, 8, 9, 1, 5, 8, 2, 6, 3, 6, 3, 4, 2, 6, 2, 2, 1, 0, 2, 2, 0, 4, 1, 9, 3, 0, 8, 0, 8, 5, 4, 2, 8, 1, 6, 3, 5, 1, 6, 1, 0, 2, 7, 6, 0, 0, 2, 0, 9, 0, 8, 9, 6, 8, 0, 9, 1, 3, 2, 0, 0, 5, 4, 5, 3, 5, 4, 5, 2, 7, 7, 3, 9, 1, 8, 0, 7
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OFFSET

0,2


COMMENTS

Decimal expansion of sum of reciprocal of product of numbers between perfect squares.


LINKS

Table of n, a(n) for n=0..104.


EXAMPLE

0.16726218229590580987863882056891582636342622102204...


MAPLE

evalf(Sum(GAMMA(n^2+1)/GAMMA((n+1)^2), n=1..infinity), 120); # Vaclav Kotesovec, Mar 01 2016


MATHEMATICA

NSum[1/(Pochhammer[m^2 + 1, 2 m]), {m, 1, Infinity}, WorkingPrecision > 105]


CROSSREFS

Cf. A219734.
Sequence in context: A216103 A198823 A070059 * A088667 A153971 A267251
Adjacent sequences: A219730 A219731 A219732 * A219734 A219735 A219736


KEYWORD

cons,nonn


AUTHOR

Fred Daniel Kline, Nov 26 2012


STATUS

approved



