The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A049963 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A049963

a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n-1 <= 2^(p+1), with a(1) = 1, a(2) = 2 and a(3) = 4.
(history; published version)

#37 by Joerg Arndt at Fri Feb 03 01:34:13 EST 2023

STATUS

reviewed

approved

#36 by Michel Marcus at Fri Feb 03 01:26:52 EST 2023

STATUS

proposed

reviewed

#35 by Jon E. Schoenfield at Thu Feb 02 23:43:00 EST 2023

STATUS

editing

proposed

#34 by Jon E. Schoenfield at Thu Feb 02 23:42:57 EST 2023

COMMENTS

The number m in the definition of the sequence equals 2*n - 2 - x, where x is the smallest power of 2 >= n-1. It turns out that m = 1 + A006257(n-2), where the sequence b(n) = A006257(n) satisfies b(2*n) = 2*b(n) - 1 and b(2*n + 1) = 2*b(n) + 1, and it is related to the so-called Josephus's problem. - Petros Hadjicostas, Sep 25 2019

STATUS

approved

editing

#33 by N. J. A. Sloane at Fri May 06 13:12:16 EDT 2022

CROSSREFS

Cf. A049914 (similar, but with minus a(m/2)), A049915 (similar, but with minus a(m)), A049962 (similar , but with plus a(m/2)).

Discussion

Fri May 06

13:12

OEIS Server: https://oeis.org/edit/global/2940

#32 by N. J. A. Sloane at Fri May 06 13:11:36 EDT 2022

CROSSREFS

Cf. A049914 (similar , but with minus a(m/2)), A049915 (similar , but with minus a(m)), A049962 (similar with plus a(m/2)).

Discussion

Fri May 06

13:11

OEIS Server: https://oeis.org/edit/global/2939

#31 by Michel Marcus at Tue Jun 23 01:24:26 EDT 2020

STATUS

reviewed

approved

#30 by Rémy Sigrist at Tue Jun 23 00:16:27 EDT 2020

STATUS

proposed

reviewed

#29 by Petros Hadjicostas at Mon Jun 22 20:27:14 EDT 2020

STATUS

editing

proposed

#28 by Petros Hadjicostas at Mon Jun 22 20:26:18 EDT 2020

LINKS

<a href="/index/J#Josephus">Index entries for sequences related to the Josephus Problem</a>

STATUS

approved

editing

Discussion

Mon Jun 22

20:27

Petros Hadjicostas: I believe the same typo (missing >) must be repeated elsewhere...