The On-Line Encyclopedia of Integer Sequences (OEIS)

Revisions by Antonio Graciá Llorente (See also Antonio Graciá Llorente's wiki page)

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A202543

Decimal expansion of the number x satisfying e^(x/2) - e^(-x/2) = 1.
(history; published version)

#61 by Antonio Graciá Llorente at Thu Feb 13 15:23:16 EST 2025

STATUS

editing

proposed

#60 by Antonio Graciá Llorente at Thu Feb 13 15:22:00 EST 2025

FORMULA

Equals - Pi*i + Sum_{k>=0} arctanh(phi^(2^k))/2^k, with phi = A001622 and i = sqrt(-1). - Antonio Graciá Llorente, Feb 10 13 2025

STATUS

proposed

editing

#59 by Antonio Graciá Llorente at Mon Feb 10 07:57:57 EST 2025

STATUS

editing

proposed

Discussion

Thu Feb 13

15:15

Amiram Eldar: I am getting that the sum is 0.962... - Pi*i. I think that real part, or better -Pi*i, should be added.

#58 by Antonio Graciá Llorente at Mon Feb 10 07:57:54 EST 2025

FORMULA

Equals real part of Sum_{k>=0} arctanh(phi^(2^nk))/2^n, k, with phi = A001622. - Antonio Graciá Llorente, Feb 08 10 2025

#56 by Antonio Graciá Llorente at Sat Feb 08 19:35:19 EST 2025

STATUS

editing

proposed

Discussion

Sun Feb 09

01:18

Joerg Arndt: the sum appear real to me!

#55 by Antonio Graciá Llorente at Sat Feb 08 19:35:04 EST 2025

FORMULA

Equals real part of Sum_{k>=0} arctanh(phi^(2^n))/2^n, with phi = A001622. - Antonio Graciá Llorente, Feb 08 2025

STATUS

approved

editing

A001620

Decimal expansion of Euler's constant (or the Euler-Mascheroni constant), gamma.
(history; published version)

#432 by Antonio Graciá Llorente at Fri Jan 10 08:26:17 EST 2025

STATUS

editing

proposed

#431 by Antonio Graciá Llorente at Fri Jan 10 08:25:29 EST 2025

FORMULA

Equals Sum_{j>=1} Sum_{k>=1} ((zeta(j+k)-1)/(j+k)). - Antonio Graciá Llorente, Jan 08 2025

STATUS

reviewed

editing

Discussion

Fri Jan 10

08:26

Antonio Graciá Llorente: sorry didnt see Equals Sum_{n>=1} n*(zeta(n+1) - 1)/(n + 1) [Euler] (see Finch at p. 30).

#429 by Antonio Graciá Llorente at Wed Jan 08 19:18:21 EST 2025

STATUS

editing

proposed

#428 by Antonio Graciá Llorente at Wed Jan 08 19:16:46 EST 2025

FORMULA

Equals Sum_{j>=1} Sum_{k>=1} ((zeta(j+k)-1)/(j+k)). - Antonio Graciá Llorente, Jan 08 2025

STATUS

approved

editing