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A053163 n+cototient(n) produces these powers of 2 in order of magnitude. +0
1
1, 4, 8, 16, 32, 32, 64, 128, 128, 256, 512, 512, 1024, 1024, 2048, 2048, 4096, 4096, 8192, 8192, 8192, 16384, 16384, 32768, 32768, 65536, 65536, 131072, 131072, 131072, 262144, 262144, 524288, 524288, 524288, 524288, 1048576, 1048576 (list; graph; listen)
OFFSET

1,2

COMMENT

See especially A053579 and also A053576, A053577.

FORMULA

a(n) = 2^w = m+A051953(m) = 2*m-A000010(m) for some m.

EXAMPLE

1+Mersenne primes powers of 2 are here, 2^p for special primes. Also because of other (infinite) subsequences, all 2-powers from 2^6 occurs at least twice.

CROSSREFS

A000043, A000668, A001348.

Sequence in context: A030119 A034451 A099992 this_sequence A125626 A061011 A075090

Adjacent sequences: A053160 A053161 A053162 this_sequence A053164 A053165 A053166

KEYWORD

nice,nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Feb 29 2000

EXTENSIONS

More terms from Olaf Voss (richyfourtythree(AT)yahoo.com), Feb 25 2008

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


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