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A219733 Decimal expansion of sum_{n = 1..infinity} 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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

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

First seven digits match the mass of the proton A070059.

LINKS

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

EXAMPLE

=0.16726218229590580987863882056891582636342622102204...

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 A108664

Adjacent sequences:  A219730 A219731 A219732 * A219734 A219735 A219736

KEYWORD

cons,nonn

AUTHOR

Fred Daniel Kline, Nov 26 2012

STATUS

approved

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Last modified April 25 03:36 EDT 2014. Contains 240994 sequences.