The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A166653

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A166653

Totally multiplicative sequence with a(p) = 4p-1 for prime p.
(history; published version)

#8 by Michel Marcus at Sat May 21 17:08:54 EDT 2016

STATUS

reviewed

approved

#7 by Joerg Arndt at Sat May 21 13:27:47 EDT 2016

STATUS

proposed

reviewed

#6 by G. C. Greubel at Sat May 21 13:22:59 EDT 2016

STATUS

editing

proposed

#5 by G. C. Greubel at Sat May 21 13:22:56 EDT 2016

LINKS

G. C. Greubel, <a href="/A166653/b166653.txt">Table of n, a(n) for n = 1..10000</a>

MATHEMATICA

a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((4*fi[[All, 1]] - 1)^fi[[All, 2]])); Table[a[n], {n, 1, 100}] (* G. C. Greubel, May 21 2016 *)

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 19:00:17 EDT 2012

AUTHOR

_Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), _, Oct 18 2009

Discussion

Fri Mar 30

19:00

OEIS Server: https://oeis.org/edit/global/299

#3 by R. J. Mathar at Mon Feb 07 12:28:57 EST 2011

STATUS

proposed

approved

#2 by R. J. Mathar at Mon Feb 07 12:28:54 EST 2011

KEYWORD

nonn,mult

STATUS

approved

proposed

#1 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

NAME

Totally multiplicative sequence with a(p) = 4p-1 for prime p.

DATA

1, 7, 11, 49, 19, 77, 27, 343, 121, 133, 43, 539, 51, 189, 209, 2401, 67, 847, 75, 931, 297, 301, 91, 3773, 361, 357, 1331, 1323, 115, 1463, 123, 16807, 473, 469, 513, 5929, 147, 525, 561, 6517, 163, 2079, 171, 2107, 2299, 637, 187, 26411, 729, 2527

OFFSET

1,2

FORMULA

Multiplicative with a(p^e) = (4p-1)^e. If n = Product p(k)^e(k) then a(n) = Product (4*p(k)-1)^e(k).

KEYWORD

nonn

AUTHOR

Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Oct 18 2009

STATUS

approved