A378025 - OEIS

A378025

Decimal expansion of 1/2 - log(2)/4 - G/Pi, where G = A006752.

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

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OFFSET

-1,1

REFERENCES

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.7.2, p. 56.

LINKS

Table of n, a(n) for n=-1..98.

FORMULA

Equals Sum_{n>=1} zeta(2*n)/(2^(4*n)*(2*n + 1)) (see Finch).

EXAMPLE

0.035152300829194892507307513167060939117058812424...

MATHEMATICA

RealDigits[1/2-Log[2]/4-Catalan/Pi, 10, 100][[1]]

CROSSREFS

Cf. A000796, A002162, A006752, A143233.

Sequence in context: A198881 A318488 A256598 * A155526 A076553 A199616

Adjacent sequences: A378019 A378021 A378023 * A378030 A378031 A378041

KEYWORD

nonn,cons,new

AUTHOR

Stefano Spezia, Nov 14 2024

STATUS

approved