The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A192083

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A192083

Arithmetic derivative of squares of prime powers: a(n)=A003415(A056798(n)).
(history; published version)

#10 by Charles R Greathouse IV at Sat Jul 13 12:04:11 EDT 2013

LINKS

_Reinhard Zumkeller_, , <a href="/A192083/b192083.txt">Table of n, a(n) for n = 1..10000</a>

Discussion

Sat Jul 13

12:04

OEIS Server: https://oeis.org/edit/global/1934

#9 by N. J. A. Sloane at Fri Feb 22 21:39:00 EST 2013

LINKS

_Reinhard Zumkeller, _, <a href="/A192083/b192083.txt">Table of n, a(n) for n = 1..10000</a>

Discussion

Fri Feb 22

21:39

OEIS Server: https://oeis.org/edit/global/1866

#8 by Joerg Arndt at Thu Dec 27 12:01:00 EST 2012

STATUS

proposed

approved

#7 by Michel Marcus at Thu Dec 27 12:00:09 EST 2012

STATUS

editing

proposed

#6 by Michel Marcus at Thu Dec 27 12:00:02 EST 2012

COMMENTS

A001787, A027471, A100484, A079705 and A051674 are are subsequences;

STATUS

approved

editing

#5 by Russ Cox at Fri Mar 30 18:51:10 EDT 2012

AUTHOR

_Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), _, Jun 26 2011

Discussion

Fri Mar 30

18:51

OEIS Server: https://oeis.org/edit/global/246

#4 by N. J. A. Sloane at Sat Jul 09 08:37:06 EDT 2011

STATUS

proposed

approved

#3 by Reinhard Zumkeller at Sun Jun 26 09:19:08 EDT 2011

NAME

allocated for Reinhard ZumkellerArithmetic derivative of squares of prime powers: a(n)=A003415(A056798(n)).

DATA

0, 4, 6, 32, 10, 14, 192, 108, 22, 26, 1024, 34, 38, 46, 500, 1458, 58, 62, 5120, 74, 82, 86, 94, 1372, 106, 118, 122, 24576, 134, 142, 146, 158, 17496, 166, 178, 194, 202, 206, 214, 218, 226, 5324, 18750, 254, 114688, 262, 274, 278, 298, 302, 314, 326, 334

OFFSET

1,2

COMMENTS

A001787, A027471, A100484, A079705 and A051674 are are subsequences;

A001787 and A024622 give record values and where they occur;

A192084(n) = A003415(a(n)).

LINKS

Reinhard Zumkeller, <a href="/A192083/b192083.txt">Table of n, a(n) for n = 1..10000</a>

FORMULA

a(n) = 2 * A025474(n) * A025473(n)^(2*A025474(n) - 1).

KEYWORD

allocated

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 26 2011

STATUS

approved

proposed

#2 by Reinhard Zumkeller at Thu Jun 23 10:08:30 EDT 2011

KEYWORD

allocating

allocated

#1 by Reinhard Zumkeller at Thu Jun 23 10:08:30 EDT 2011

NAME

allocated for Reinhard Zumkeller

KEYWORD

allocating

STATUS

approved