The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A036567

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A036567

Basic numbers used in Sedgewick-Incerpi upper bound for shell sort.
(history; published version)

#44 by Alois P. Heinz at Mon Dec 04 19:04:27 EST 2023

STATUS

editing

approved

#43 by Alois P. Heinz at Mon Dec 04 19:04:25 EST 2023

EXAMPLE

2.5^4 = 39.0625, and 41 is the next integer that is relatively prime to 1, 3, 7 and 16.

STATUS

approved

editing

#42 by Alois P. Heinz at Mon Dec 04 18:39:18 EST 2023

STATUS

editing

approved

#41 by Alois P. Heinz at Mon Dec 04 18:39:00 EST 2023

CROSSREFS

Cf. A003462, A033622, A036561, A036562, A036564, A036566, A036567, A036569, A055875, A055876, A102549, A108870, A112262, A112263, A154393, A204772, A205669, A205670, A361506, A361507.

STATUS

approved

editing

Discussion

Mon Dec 04

18:39

Alois P. Heinz: ... and more references ...

#40 by OEIS Server at Mon Dec 04 18:21:43 EST 2023

LINKS

Alois P. Heinz, <a href="/A036567/b036567_1.txt">Table of n, a(n) for n = 0..1000</a>

#39 by Alois P. Heinz at Mon Dec 04 18:21:43 EST 2023

STATUS

editing

approved

Discussion

Mon Dec 04

18:21

OEIS Server: Installed new b-file as b036567.txt.  Old b-file is now b036567_1.txt.

#38 by Alois P. Heinz at Mon Dec 04 18:21:37 EST 2023

LINKS

Alois P. Heinz, <a href="/A036567/b036567_1.txt">Table of n, a(n) for n = 10..1000</a>

#37 by Alois P. Heinz at Mon Dec 04 18:19:38 EST 2023

DATA

1, 3, 7, 16, 41, 101, 247, 613, 1529, 3821, 9539, 23843, 59611, 149015, 372539, 931327, 2328307, 5820767, 14551919, 36379789, 90949471, 227373677, 568434193, 1421085473, 3552713687, 8881784201, 22204460497, 55511151233, 138777878081, 346944695197, 867361737989

OFFSET

1,1

0,2

MAPLE

seq(a(n), n=10..30); # Alois P. Heinz, Jan 06 2022

EXTENSIONS

a(0)=1 prepended by Alois P. Heinz, Dec 04 2023

STATUS

approved

editing

Discussion

Mon Dec 04

18:20

Alois P. Heinz: for compatibility with other shell sort related sequences ... there was an initial 1 in older versions ...

#36 by Alois P. Heinz at Thu Jan 06 11:55:36 EST 2022

STATUS

editing

approved

#35 by Alois P. Heinz at Thu Jan 06 11:55:33 EST 2022

LINKS

Alois P. Heinz, <a href="/A036567/b036567.txt">Table of n, a(n) for n = 1..1000</a>

STATUS

approved

editing