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, 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

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 A353053 * A070059 A088667 A153971

Adjacent sequences: A219730 A219731 A219732 * A219734 A219735 A219736

Keyword

cons,nonn

Author

Fred Daniel Kline, Nov 26 2012

Status

approved