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A137519 a(1)=1. a(2)=2. For n>=3, a(n) = the smallest integer > a(n-1) that is coprime to (a(n-1)+1)*(a(n-2)+1). +0
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1, 2, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 39, 41, 43, 47, 49, 53, 59, 61, 67, 69, 71, 73, 77, 79, 83, 89, 97, 101, 103, 107, 109, 113, 119, 121, 127, 129, 131, 133, 137, 139, 143, 149, 151, 157, 159, 161, 163, 167, 169, 173, 179, 181, 187, 191, 193, 197, 199, 203 (list; graph; listen)
OFFSET

1,2

MATHEMATICA

a = {1, 2}; For[n = 3, n < 80, n++, i = a[[ -1]] + 1; While[GCD[(a[[ -1]] + 1)*(a[[ -2]] + 1), i] > 1, i++ ]; AppendTo[a, i]]; a - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 26 2008

CROSSREFS

Sequence in context: A020581 A081259 A118751 this_sequence A045344 A087685 A020619

Adjacent sequences: A137516 A137517 A137518 this_sequence A137520 A137521 A137522

KEYWORD

nonn

AUTHOR

Leroy Quet (qq-quet(AT)mindspring.com), Apr 24 2008

EXTENSIONS

More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 26 2008

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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