A134705 a(n) = n-th perfect number divided by 2^n.

3, 7, 62, 508, 1048448, 134216704, 1073739776, 9007199250546688, 5192296858534827626278696515534848, 187072209578355573530071658285452771612302071824384

Offset: 1

Author

Omar E. Pol, Nov 07 2007

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Cf. A000396, A133028.

Programs

Maple

 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

Formula

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

Extensions

More terms from R. J. Mathar, Jan 07 2008