The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A067348 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A067348

Even numbers n such that binomial(n, [n/2]) is divisible by n.
(history; published version)

#27 by Peter Luschny at Fri Aug 04 03:03:04 EDT 2017

STATUS

proposed

approved

#26 by Jon E. Schoenfield at Fri Aug 04 02:24:50 EDT 2017

STATUS

editing

proposed

Discussion

Fri Aug 04

03:02

Peter Luschny: Sorry to hear this.

#25 by Jon E. Schoenfield at Fri Aug 04 02:24:45 EDT 2017

COMMENTS

Conjecture: sequence contains most of 2*A000384(k). Exceptions are k = 8, 18, 20, 23, 35, ... - Ralf Stephan, Mar 15 2004

STATUS

proposed

editing

#24 by Peter Luschny at Fri Aug 04 02:15:03 EDT 2017

STATUS

editing

proposed

Discussion

Fri Aug 04

02:24

Jon E. Schoenfield: Labos is no longer with us ...   :-(

#23 by Peter Luschny at Fri Aug 04 02:12:27 EDT 2017

COMMENTS

This sequence has a surprisingly large overlap with A080385(n); a few values, 2, 420, 920 are exceptional. This means that usually A080383(A067348[(n]))=7. - Labos Elemer, Mar 17 2003

Discussion

Fri Aug 04

02:13

Peter Luschny: @Labos: Why surprisingly ? What is usually?

#22 by Peter Luschny at Fri Aug 04 02:11:31 EDT 2017

CROSSREFS

Subsequence of A042996.

Cf. A000984, A042996, A067315, A080385.

#21 by Peter Luschny at Fri Aug 04 02:06:57 EDT 2017

NAME

Central Even numbers n such that binomial coefficient C(n, [n/2]) is divisible by n.

EXTENSIONS

Name clarified by Peter Luschny, Aug 04 2017

STATUS

approved

editing

Discussion

Fri Aug 04

02:08

Peter Luschny: Otherwise this would be A042996.

#20 by N. J. A. Sloane at Sat Jul 29 21:44:42 EDT 2017

STATUS

proposed

approved

#19 by David A. Corneth at Sat Jul 29 18:09:56 EDT 2017

STATUS

editing

proposed

#18 by David A. Corneth at Sat Jul 29 18:09:50 EDT 2017

LINKS

David A. Corneth, <a href="/A067348/b067348.txt">Table of n, a(n) for n = 1..12000</a>