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A064457 a(1) = 3; for n > 1, choose a(n) to be the smallest number such that a(n) > a(n-1) and (a(n)*a(n-1)+1) mod (a(n)+a(n-1)+1) = 0. +0
1
3, 7, 47, 157, 293, 1807, 8697, 9447, 15147, 31497, 74847, 159111, 1031187, 1100457, 1740087, 3589707, 8498937, 10312173, 15086925, 51874335, 54072205, 746239895, 1433920655 (list; graph; listen)
OFFSET

1,1

COMMENT

Starting with a(1) = 0, 1 or 2 there are no solutions.

EXAMPLE

a(3) = 47 because 7*47 + 1 = 330 and 7+47+1 = 55 and 55*6 = 330

CROSSREFS

Sequence in context: A129518 A007670 A074714 this_sequence A005650 A020754 A052381

Adjacent sequences: A064454 A064455 A064456 this_sequence A064458 A064459 A064460

KEYWORD

nonn

AUTHOR

Jonathan Ayres (jonathan.ayres(AT)btinternet.com), Oct 15 2001

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 18 2001

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Last modified November 24 19:42 EST 2009. Contains 167435 sequences.


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