The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A047585

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A047585

Numbers that are congruent to {0, 1, 3, 5, 6, 7} mod 8.
(history; published version)

#28 by Charles R Greathouse IV at Thu Sep 08 08:44:57 EDT 2022

PROG

(MAGMAMagma) [n : n in [0..100] | n mod 8 in [0, 1, 3, 5, 6, 7]]; // Wesley Ivan Hurt, Jun 16 2016

Discussion

Thu Sep 08

08:44

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

#27 by Hugo Pfoertner at Mon Dec 27 04:21:07 EST 2021

STATUS

reviewed

approved

#26 by Michel Marcus at Mon Dec 27 02:22:53 EST 2021

STATUS

proposed

reviewed

#25 by Amiram Eldar at Mon Dec 27 01:32:46 EST 2021

STATUS

editing

proposed

#24 by Amiram Eldar at Mon Dec 27 01:29:52 EST 2021

CROSSREFS

Cf. A047517, A047569.

#23 by Amiram Eldar at Mon Dec 27 01:10:57 EST 2021

FORMULA

Sum_{n>=2} (-1)^n/a(n) = (3-2*sqrt(2))*Pi/16 + (5-sqrt(2))*log(2)/8 + sqrt(2)*log(sqrt(2)+2)/4. - Amiram Eldar, Dec 27 2021

STATUS

approved

editing

#22 by Bruno Berselli at Wed Jun 29 03:11:05 EDT 2016

STATUS

proposed

approved

#21 by G. C. Greubel at Sun Jun 19 19:18:12 EDT 2016

STATUS

editing

proposed

Discussion

Tue Jun 21

03:02

Bruno Berselli: (Vincenzo: please see your contributions on Chai Wah Wu.)

Wed Jun 29

02:34

Vincenzo Librandi: I see, thanks

#20 by G. C. Greubel at Sun Jun 19 19:13:54 EDT 2016

AUTHOR

N. J. A. Sloane, Dec 11 1999

Discussion

Sun Jun 19

19:18

G. C. Greubel: The G.f. starts with x^2 and VL's Mma starts with x^1. For the range {x,0,100} this produces the same power set and data.

#19 by G. C. Greubel at Sun Jun 19 19:13:01 EDT 2016

FORMULA

a(n) = 2*a(n-1) - 2*a(n-2) + 2*a(n-3) - 2*a(n-4) + 2*a(n-5) - a(n-6) for n > 6.

G.f.: x^2*(x^4 + x^2 + x + 1)/((x - 1)^2*(x^2 - x + 1)*(x^2 + x + 1 ) ). (End)

STATUS

proposed

editing