The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A099392 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A099392

a(n) = floor((n^2 - 2*n + 3)/2).
(history; published version)

#56 by Peter Luschny at Sun Jan 28 04:46:48 EST 2024

STATUS

reviewed

approved

#55 by Michel Marcus at Sun Jan 28 03:06:29 EST 2024

STATUS

proposed

reviewed

#54 by Stefano Spezia at Sun Jan 28 02:55:16 EST 2024

STATUS

editing

proposed

#53 by Stefano Spezia at Sun Jan 28 02:50:34 EST 2024

CROSSREFS

Cf. A000217, A001844, A002522, A007494, A007590, A058331 (bisections).

Cf. A014601, A033683, A047838, A074148, A109613, A183575, A290743.

#52 by Stefano Spezia at Sun Jan 28 02:31:23 EST 2024

FORMULA

E.g.f.: ((2 - x + x^2)*cosh(x) + (3 - x + x^2)*sinh(x) - 2)/2. - Stefano Spezia, Jan 28 2024

STATUS

approved

editing

#51 by Joerg Arndt at Fri Sep 16 03:58:03 EDT 2022

STATUS

reviewed

approved

#50 by Michel Marcus at Fri Sep 16 03:18:56 EDT 2022

STATUS

proposed

reviewed

#49 by Amiram Eldar at Fri Sep 16 03:15:59 EDT 2022

STATUS

editing

proposed

#48 by Amiram Eldar at Fri Sep 16 02:23:57 EDT 2022

FORMULA

Sum_{n>=1} 1/a(n) = tanh(Pi/2)*Pi/2 + coth(Pi/sqrt(2))*Pi/(2*sqrt(2)) + 1/2. - Amiram Eldar, Sep 16 2022

STATUS

approved

editing

#47 by Bruno Berselli at Sat Jun 02 13:08:03 EDT 2018

STATUS

reviewed

approved