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A135651 Even superperfect numbers written in base 2. +0
2
10, 100, 10000, 1000000, 1000000000000, 10000000000000000, 1000000000000000000, 1000000000000000000000000000000 (list; graph; listen)
OFFSET

1,1

COMMENT

Also, superperfect numbers (A019279) written in base 2 (If there are no odd perfect numbers).

Also, concatenation of "1" and A090748(n) digits "0".

The number of digits of a(n) is equal to A000043(n) and also equal to the number of digits of n-th Mersenne prime written in base 2 (See A117293, A135650).

EXAMPLE

a(3)=10000 because the 3rd even superperfect number A061652(3)=16 and 16 written in base 2 is equal to 10000.

CROSSREFS

Cf. A000043, A000668, A019279, A061652, A090748, A117293, A135650.

Sequence in context: A164832 A144822 A097178 this_sequence A139103 A067217 A066327

Adjacent sequences: A135648 A135649 A135650 this_sequence A135652 A135653 A135654

KEYWORD

base,nonn

AUTHOR

Omar E. Pol (info(AT)polprimos.com), Feb 23 2008

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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