A378021 - OEIS

A378021

Decimal expansion of Pi*G - 33*zeta(3)/16, where G = A006752.

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

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OFFSET

0,1

REFERENCES

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.7.2, p. 55.

LINKS

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

FORMULA

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

EXAMPLE

0.3983484188414979381406202084041821941620701721...

MATHEMATICA

RealDigits[Pi Catalan-33Zeta[3]/16, 10, 100][[1]]

CROSSREFS

Cf. A000796, A002117, A006752, A378003.

Sequence in context: A338402 A093498 A200240 * A199052 A021255 A229350

Adjacent sequences: A378016 A378017 A378019 * A378023 A378025 A378030

KEYWORD

nonn,cons,new

AUTHOR

Stefano Spezia, Nov 14 2024

STATUS

approved