The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A247004 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A247004

Denominator of (n+4)/gcd(n, 4)^2, a 16-periodic sequence that associates A061037 with A106617.
(history; published version)

#25 by Charles R Greathouse IV at Sat Jun 13 00:55:06 EDT 2015

LINKS

<a href="/index/Rec#order_16">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).

Discussion

Sat Jun 13

00:55

OEIS Server: https://oeis.org/edit/global/2439

#24 by Michael Somos at Sat Sep 13 13:26:39 EDT 2014

STATUS

editing

approved

#23 by Michael Somos at Sat Sep 13 13:25:42 EDT 2014

FORMULA

a(-n) = a(n+16) = a(n), a(2*n + 1) = 1 for all n in Z. - Michael Somos, Sep 13 2014

STATUS

proposed

editing

Discussion

Sat Sep 13

13:26

Michael Somos: Added more info.

#22 by Michael Somos at Fri Sep 12 19:15:28 EDT 2014

STATUS

editing

proposed

Discussion

Fri Sep 12

22:29

Charles R Greathouse IV: I don't begrudge the room, I'd just like to have more information if possible.

Sat Sep 13

02:14

Jean-François Alcover: At the moment, Paul and I don't have any more information to add.
If nihil obstat, then publicatur, otherwise I don't care.

#21 by Michael Somos at Fri Sep 12 19:15:03 EDT 2014

FORMULA

(n+4) / GCD(n, 4)^2 = A188134(n+4) / 4. - Michael Somos, Sep 12 2014

CROSSREFS

Cf. A060819, A061037, A106617, A109008, A188134, A213268.

STATUS

proposed

editing

Discussion

Fri Sep 12

19:15

Michael Somos: Added more info.

#20 by Jean-François Alcover at Fri Sep 12 14:42:41 EDT 2014

STATUS

editing

proposed

#19 by Joerg Arndt at Fri Sep 12 14:19:02 EDT 2014

COMMENTS

As of 2014, and except digit expansions of rational numbers, this sequence is the only one in the Oeis that can be generated, given its initial terms, by the linear recurrence a(n) = a(n-16).

STATUS

proposed

editing

Discussion

Fri Sep 12

14:21

Joerg Arndt: IMO sequences "Period N: repeat [whatever]" should only be suggested for a _very_ good reason.

14:42

Jean-François Alcover: There's a relationship with 5 existing sequences: it's a fairly good reason
(not a _very_ good one, I agree).
In addition, let me quote Neil himself; "we have plenty of room"...

#18 by Paul Curtz at Fri Sep 12 09:37:14 EDT 2014

STATUS

editing

proposed

#17 by Paul Curtz at Fri Sep 12 09:36:27 EDT 2014

CROSSREFS

Cf. A060819, A061037, A106617, A109008, A213268.

STATUS

proposed

editing

#16 by Jean-François Alcover at Fri Sep 12 02:58:18 EDT 2014

STATUS

editing

proposed