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Search: id:A079672
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A079672 Numbers of the form (3^s+1)/(3^r+1) for s>1, 1<=r<=s-1. +0
4
7, 61, 73, 547, 4921, 703, 5905, 44287, 6481, 398581, 478297, 3587227, 512461, 58807, 32285041, 38742049, 530713, 290565367, 42521761, 2615088301, 373584043, 4780783, 3138105961, 23535794707, 43040161, 211822152361, 3472494301 (list; graph; listen)
OFFSET

1,1

COMMENT

(b^s+1) / (b^r+1) is an integer iff s/r is odd. - Jose Brox (tautocrona(AT)terra.es), Dec 27 2005

FORMULA

(3^s+1)/(3^r+1) when it belongs to N for s from 2 to infinity for r from 1 to s-1

PROGRAM

(PARI) for(x=2, 26, for(y=1, x-1, if(Mod(2^x+1, 2^y+1), 0, print1((3^x+1)/(3^y+1)", ")))) (* The Mod(2^x+1, 2^y+1) is not a bug, since the exponents do not depend on what base are calculated *)

CROSSREFS

Cf. A079665, A079581, A079673.

Sequence in context: A156545 A157871 A043085 this_sequence A100698 A141952 A064398

Adjacent sequences: A079669 A079670 A079671 this_sequence A079673 A079674 A079675

KEYWORD

nonn

AUTHOR

Jose R. Brox (tautocrona(AT)terra.es), Jan 25 2003

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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