The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A016826 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A016826

a(n) = (4n + 2)^2.
(history; published version)

#45 by Joerg Arndt at Fri Jan 29 04:48:57 EST 2021

STATUS

reviewed

approved

#44 by Michel Marcus at Fri Jan 29 04:07:28 EST 2021

STATUS

proposed

reviewed

#43 by Amiram Eldar at Fri Jan 29 03:37:10 EST 2021

STATUS

editing

proposed

#42 by Amiram Eldar at Fri Jan 29 03:14:50 EST 2021

FORMULA

From Amiram Eldar, Jan 29 2021: (Start)

Product_{n>=0} (1 + 1/a(n)) = cosh(Pi/4).

Product_{n>=0} (1 - 1/a(n)) = 1/sqrt(2) (A010503). (End)

CROSSREFS

Cf. A000290, A010503, A016742, A016754, A016802, A016814, A016838.

STATUS

approved

editing

#41 by Michel Marcus at Sun Jun 28 02:51:44 EDT 2020

STATUS

reviewed

approved

#40 by Joerg Arndt at Sun Jun 28 02:30:06 EDT 2020

STATUS

proposed

reviewed

#39 by Amiram Eldar at Sun Jun 28 01:23:49 EDT 2020

STATUS

editing

proposed

#38 by Amiram Eldar at Sun Jun 28 01:20:10 EDT 2020

FORMULA

From Amiram Eldar, Jun 28 2020: (Start)

Sum_{n>=0} 1/a(n) = Pi^2/32.

Sum_{n>=0} (-1)^n/a(n) = G/4, where G is the Catalan constant (A006752). (End)

STATUS

approved

editing

#37 by Joerg Arndt at Sun Jan 14 03:24:49 EST 2018

STATUS

proposed

approved

#36 by Michel Marcus at Sun Jan 14 01:15:07 EST 2018

STATUS

editing

proposed