The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A016756 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A016756

a(n) = (2*n+1)^4.
(history; published version)

#41 by Charles R Greathouse IV at Thu Sep 08 08:44:41 EDT 2022

PROG

(MAGMAMagma) [(2*n+1)^4: n in [0..40]]; // Vincenzo Librandi, Sep 07 2011

Discussion

Thu Sep 08

08:44

OEIS Server: https://oeis.org/edit/global/2944

#40 by Michel Marcus at Thu Jan 28 03:42:03 EST 2021

STATUS

reviewed

approved

#39 by Joerg Arndt at Thu Jan 28 03:36:17 EST 2021

STATUS

proposed

reviewed

#38 by Amiram Eldar at Thu Jan 28 02:55:38 EST 2021

STATUS

editing

proposed

#37 by Amiram Eldar at Thu Jan 28 02:43:02 EST 2021

FORMULA

From Amiram Eldar, Jan 28 2021: (Start)

Product_{n>=0} (1 + 1/a(n)) = (cos(Pi/sqrt(2)) + cosh(Pi/sqrt(2)))/2.

Product_{n>=1} (1 - 1/a(n)) = Pi*cosh(Pi/2)/8. (End)

STATUS

approved

editing

#36 by Michel Marcus at Sat Oct 10 04:04:43 EDT 2020

STATUS

reviewed

approved

#35 by Joerg Arndt at Sat Oct 10 03:58:17 EDT 2020

STATUS

proposed

reviewed

#34 by Amiram Eldar at Sat Oct 10 03:23:43 EDT 2020

STATUS

editing

proposed

#33 by Amiram Eldar at Sat Oct 10 03:20:33 EDT 2020

DATA

1, 81, 625, 2401, 6561, 14641, 28561, 50625, 83521, 130321, 194481, 279841, 390625, 531441, 707281, 923521, 1185921, 1500625, 1874161, 2313441, 2825761, 3418801, 4100625, 4879681, 5764801, 6765201, 7890481, 9150625, 10556001, 12117361, 13845841, 15752961, 17850625

#32 by Amiram Eldar at Sat Oct 10 03:04:32 EDT 2020

FORMULA

Sum_{n>=0} 1/a(n) = Pi^4/96 (A300707). - Amiram Eldar, Oct 10 2020

CROSSREFS

Cf. A016755, A060187, A154537, A300707.

STATUS

approved

editing