A340778 - OEIS

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A340778

Decimal expansion of (2 - e*log(2))/4.

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

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OFFSET

-1,1

COMMENTS

This constant appears in an asymptotic formula proved by Linnik in 1960 in an additive problem of Hardy-Littlewood (see Formula 1 in Dimitrov and Formula 0.3 in Linnik).

LINKS

Table of n, a(n) for n=-1..85.

Stoyan I. Dimitrov, The ternary Piatetski-Shapiro inequality with one prime of the form p = x^2 + y^2 + 1, arXiv:2011.03967 [math.NT], 2020.

Juriĭ Vladimirovič Linnik, An asymptotic formula in an additive problem of Hardy-Littlewood, Izv. Akad. Nauk SSSR Ser. Mat., 24 (1960), 629-706 (in Russian).

EXAMPLE

0.02895765365906997252446022076864966632568373588631465...

MATHEMATICA

First[RealDigits[N[(2-E*Log[2])/4, 87]]]

CROSSREFS

Cf. A001113, A002162, A079544, A276415, A283239.

Sequence in context: A199274 A140241 A340536 * A108744 A195724 A081819

Adjacent sequences: A340775 A340776 A340777 * A340779 A340780 A340781

KEYWORD

nonn,cons

AUTHOR

Stefano Spezia, Jan 21 2021

STATUS

approved