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A066661 Numbers n such that floor((1+1/n)^k)=k for an integer k>1. +0
1
2, 3, 4, 5, 7, 13, 20, 27, 31, 34, 36, 38, 48, 65, 70, 73, 76, 79, 95, 104, 112, 117, 125, 126, 144, 145, 153, 154, 159, 164, 179, 182, 185, 190, 195, 202, 204, 216, 218, 225, 235, 253, 269, 279, 285, 291, 292, 300, 313, 314, 315, 340, 341, 342, 355, 356, 365 (list; graph; listen)
OFFSET

1,1

FORMULA

Conjecture : a(n)=C*n*ln(n) asymptotically with C=1.5...

EXAMPLE

Floor((1+1/4)^11)=11 hence 4 is in the sequence.

CROSSREFS

Adjacent sequences: A066658 A066659 A066660 this_sequence A066662 A066663 A066664

Sequence in context: A090703 A137357 A100676 this_sequence A125707 A039060 A092065

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 14 2002

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Last modified October 15 20:12 EDT 2008. Contains 145099 sequences.


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