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A116213 (2^(2^(2^n))-1)/(2^(2^n)+1). +0
1
1, 3, 3855, 450552876409790643671482431940419874915447411150352389258589821042463539455 (list; graph; listen)
OFFSET

0,2

COMMENT

2^n+1 divides 2^(2^n)-1 iff n is a power of 2.

FORMULA

a(n) = (2^(2^(2^n))-1)/(2^(2^n)+1). a(n) = A051179(2^n)/A000215(n).

MATHEMATICA

Table[ (2^2^2^n - 1) / (2^2^n + 1), {n, 0, 3} ]

CROSSREFS

Cf. A000215 = Fermat numbers: 2^(2^n)+1. Cf. A051179 = 2^(2^n)-1.

Adjacent sequences: A116210 A116211 A116212 this_sequence A116214 A116215 A116216

Sequence in context: A134909 A003831 A089895 this_sequence A136544 A024048 A094319

KEYWORD

nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Apr 08 2007

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Last modified October 12 15:26 EDT 2008. Contains 144830 sequences.


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