The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A335086 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A335086

Decimal expansion of the sum of reciprocals of squared composite numbers that are not perfect powers.
(history; published version)

#46 by Michel Marcus at Sat Dec 03 05:42:40 EST 2022

STATUS

reviewed

approved

#45 by Joerg Arndt at Sat Dec 03 05:36:07 EST 2022

STATUS

proposed

reviewed

#44 by Amiram Eldar at Sat Dec 03 03:22:11 EST 2022

STATUS

editing

proposed

#43 by Amiram Eldar at Sat Dec 03 03:03:12 EST 2022

FORMULA

Equals zeta(2) - P(2) - 1 - Sum_{k>=2} mu(k)*(1-zeta(2*k)), where P(s) is the prime zeta function. - Amiram Eldar, Dec 03 2022

STATUS

approved

editing

#42 by N. J. A. Sloane at Thu Jan 28 21:25:46 EST 2021

STATUS

proposed

approved

#41 by Jon E. Schoenfield at Tue Jan 26 23:34:56 EST 2021

STATUS

editing

proposed

Discussion

Tue Jan 26

23:59

Jon E. Schoenfield: This constant is A335589 - A335590.  (Those sequences are just drafts right now.)

Wed Jan 27

00:00

Jon E. Schoenfield: So this sequence is A275647 - 1 - A335590.  If A335590 is approved, should this information go in the Formula section, or Comments, or elsewhere?

Thu Jan 28

21:25

N. J. A. Sloane: I guess the Formula section would be best

#40 by Jon E. Schoenfield at Tue Jan 26 23:28:13 EST 2021

OFFSET

0,-1,1

EXAMPLE

Equals 1/(6^2) + 1/(10^2) + 1/(12^2) + 1/(14^2) + ... + = 0.0922113092211319607067162105722850170097751152689718042181...

Discussion

Tue Jan 26

23:29

Jon E. Schoenfield: I plan to add more info on how I computed this....

23:34

Jon E. Schoenfield: Since the constant begins with 0.09..., the correct Offset is -1, right?  Does this change necessitate an edit to the existing Extensions entry?

#39 by Jon E. Schoenfield at Tue Jan 26 23:22:58 EST 2021

KEYWORD

nonn,cons,more,changed

#38 by Jon E. Schoenfield at Tue Jan 26 23:22:46 EST 2021

DATA

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

OFFSET

0,21

EXTENSIONS

More digits from Jon E. Schoenfield, Jan 26 2021

STATUS

approved

editing

#37 by N. J. A. Sloane at Sat Nov 07 11:20:46 EST 2020

STATUS

proposed

approved