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A051193 Sum {LCM(n,k): k=1,2,...,n}. 7
1, 4, 12, 24, 55, 66, 154, 176, 279, 320, 616, 468, 1027, 910, 1110, 1376, 2329, 1656, 3268, 2320, 3171, 3674, 5842, 3624, 6525, 6136, 7398, 6636, 11803, 6630, 14446, 10944, 12837, 13940, 15820, 12096, 24679, 19570, 21450 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

REFERENCES

L. Toth, Weighted Gcd-Sum Functions, Journal of Integer Sequences, 14 (2011), #11.7.7.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

Index entries for sequences related to lcm's

FORMULA

a(n) = n*(1+Sum_{d|n} d*phi(d))/2 = n*(1+A057660(n))/2 = n*A057661(n). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jun 21 2002

MAPLE

a:=n->sum(ilcm( n, 1, j ), j=0..n): seq(a(n), n=1..39); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 07 2006

CROSSREFS

Cf. A051173.

Cf. A000010.

Sequence in context: A037338 A136486 A003203 * A025543 A064354 A199903

Adjacent sequences:  A051190 A051191 A051192 * A051194 A051195 A051196

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified February 17 13:28 EST 2012. Contains 206031 sequences.