A377592 - OEIS

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A377592

Decimal expansion of 9*zeta(3)/Pi^2 - 93*zeta(5)/(2*Pi^4) - log(2) + 1/4.

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

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OFFSET

0,2

REFERENCES

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.3, pp. 43-44.

LINKS

Table of n, a(n) for n=0..99.

FORMULA

Equals Sum_{k>=1} zeta(2*k)/((k + 2)*2^(2*k)) (see Finch).

EXAMPLE

0.158000963625557733268629385978458549091780284796...

MATHEMATICA

RealDigits[9Zeta[3]/Pi^2-93Zeta[5]/(2Pi^4)-Log[2]+1/4, 10, 100][[1]]

CROSSREFS

Cf. A002117, A002162, A002388, A013663, A092425, A094642, A244009, A377588, A377589.

Sequence in context: A281386 A090817 A357054 * A198875 A249403 A201756

Adjacent sequences: A377589 A377590 A377591 * A377593 A377594 A377595

KEYWORD

nonn,cons

AUTHOR

Stefano Spezia, Nov 02 2024

STATUS

approved