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A098198 Decimal expansion of Pi^4/36 = zeta(2)^2. 4
2, 7, 0, 5, 8, 0, 8, 0, 8, 4, 2, 7, 7, 8, 4, 5, 4, 7, 8, 7, 9, 0, 0, 0, 9, 2, 4, 1, 3, 5, 2, 9, 1, 9, 7, 5, 6, 9, 3, 6, 8, 7, 7, 3, 7, 9, 7, 9, 6, 8, 1, 7, 2, 6, 9, 2, 0, 7, 4, 4, 0, 5, 3, 8, 6, 1, 0, 3, 0, 1, 5, 4, 0, 4, 6, 7, 4, 2, 2, 1, 1, 6, 3, 9, 2, 2, 7, 4, 0, 8, 9, 8, 5, 4, 2, 4, 9, 7, 9, 3, 0, 8, 2, 4, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..105.

FORMULA

Decimal expansion of limit of q(n)= A024916(n)/A002088(n) = SummatorySigma / SummatoryTotient .

Equals sum_{n>=1} A000005(n)/n^2. - R. J. Mathar, Dec 18 2010

Equals 10*sum_{n>=2} (psi(n)+gamma)/n^3. - Jean-Fran├žois Alcover, Feb 25 2013

EXAMPLE

2.70580808427784547879000924135291975693687737979... = 2*A152649 = A013661^2.

MATHEMATICA

RealDigits[N[Pi^4/36, 256]]

PROG

(PARI) zeta(2)^2 \\ Charles R Greathouse IV, Aug 08 2013

CROSSREFS

Cf. A002088, A024916.

Sequence in context: A277815 A229178 A019667 * A021791 A325905 A199273

Adjacent sequences:  A098195 A098196 A098197 * A098199 A098200 A098201

KEYWORD

cons,nonn

AUTHOR

Labos Elemer, Sep 21 2004

STATUS

approved

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Last modified February 20 04:49 EST 2020. Contains 332063 sequences. (Running on oeis4.)