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A102688 a(n) = (1/n)*Sum_{k=1..n} k*2^gcd(n,k). 0
2, 5, 10, 20, 36, 74, 134, 272, 526, 1052, 2058, 4160, 8204, 16466, 32824, 65696, 131088, 262490, 524306, 1049168, 2097316, 4195358, 8388630, 16779632, 33554516, 67112996, 134218282, 268443848, 536870940, 1073759432, 2147483678 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

FORMULA

a(n) = (A000079(n)+n*A000031(n))/2.

MATHEMATICA

f[n_] := Sum[k*2^GCD[n, k], {k, n}]/n; Table[ f[n], {n, 32}] (from Robert G. Wilson v Feb 12 2005)

CROSSREFS

Sequence in context: A121597 A000712 A032442 * A001629 A159230 A181366

Adjacent sequences:  A102685 A102686 A102687 * A102689 A102690 A102691

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 03 2005

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 12 2005

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Last modified February 14 03:03 EST 2012. Contains 205567 sequences.