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Search: id:A134705
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A134705 a(n) = n-th perfect number divided by 2^n. +0
2
3, 7, 62, 508, 1048448, 134216704, 1073739776, 9007199250546688, 5192296858534827626278696515534848, 187072209578355573530071658285452771612302071824384 (list; graph; listen)
OFFSET

1,1

LINKS

O. E. Pol, Determinacion geometrica de los numeros primos y perfectos.

FORMULA

a(n)=A000396(n)/(2^n).

EXAMPLE

a(3)=62 because the 3rd perfect number is 496 and 2^3=8 and 496/8=62.

MAPLE

# see http://www-maths.swan.ac.uk/pgrads/bb/project/node43.html perfp := [1, 2, 4, 6, 12, 16, 18, 30, 60, 88, 106, 126, 520, 606, 1278, 2202, 2280, 3216, 4252] : A000396 := proc(n) global perfp ; 2^op(n, perfp)*(2^(op(n, perfp)+1)-1) ; end: A134705 := proc(n) A000396(n)/2^n ; end: seq(A134705(n), n=1..12) ; - R. J. Mathar

CROSSREFS

Cf. A000396, A133028.

Sequence in context: A046859 A084289 A077703 this_sequence A110433 A041817 A120364

Adjacent sequences: A134702 A134703 A134704 this_sequence A134706 A134707 A134708

KEYWORD

nonn

AUTHOR

Omar E. Pol (info(AT)polprimos.com), Nov 07 2007

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 07 2008

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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