The On-Line Encyclopedia of Integer Sequences (OEIS)

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Revision History for A056134

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A056134

Smallest positive integer which is the geometric mean of n and an integer other than n.
(history; published version)

#5 by Russ Cox at Fri Mar 30 18:51:27 EDT 2012

AUTHOR

_Henry Bottomley (se16(AT)btinternet.com), _, Jun 13 2000

Discussion

Fri Mar 30

18:51

OEIS Server: https://oeis.org/edit/global/247

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

FORMULA

a(n)=sqrt(n*A056135(n)). If n is square-free squarefree then a(n)=2n, otherwise a(n)=A019554(n)

KEYWORD

easy,nonn,new

#3 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

FORMULA

a(n)=sqrt(n*A056135(n)). If n is square -free then a(n)=2n, otherwise a(n)=A019554(n)

KEYWORD

easy,nonn,new

#2 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

KEYWORD

easy,nonn,new

AUTHOR

Henry Bottomley (se16@(AT)btinternet.com), Jun 13 2000

#1 by N. J. A. Sloane at Thu Jun 15 03:00:00 EDT 2000

NAME

Smallest positive integer which is the geometric mean of n and an integer other than n.

DATA

2, 4, 6, 2, 10, 12, 14, 4, 3, 20, 22, 6, 26, 28, 30, 4, 34, 6, 38, 10, 42, 44, 46, 12, 5, 52, 9, 14, 58, 60, 62, 8, 66, 68, 70, 6, 74, 76, 78, 20, 82, 84, 86, 22, 15, 92, 94, 12, 7, 10, 102, 26, 106, 18, 110, 28, 114, 116, 118, 30, 122, 124, 21, 8, 130, 132, 134, 34, 138, 140

OFFSET

1,1

FORMULA

a(n)=sqrt(n*A056135(n)). If n is square free then a(n)=2n, otherwise a(n)=A019554(n)

KEYWORD

easy,nonn

AUTHOR

Henry Bottomley (se16@btinternet.com), Jun 13 2000

STATUS

approved