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A072108 Least k such that sum(i=1,k,gcd(k,i)) = n * sigma(k). +0
1
1, 40, 220, 980, 2940, 11016, 10080, 44064, 55080, 112000 (list; graph; listen)
OFFSET

1,2

MATHEMATICA

f[n_] := Block[{k = 1}, While[ Sum[ GCD[k, i], {i, 1, k}] != n*DivisorSigma[1, k], k++ ]; k]

PROGRAM

(PARI) for(n=1, 5, k=1; while(abs(sum(i=1, k, gcd(k, i))-sigma(k)*n)>0, k++); print1(k, ", "))

CROSSREFS

Sequence in context: A117216 A077818 A111176 this_sequence A074360 A068790 A073962

Adjacent sequences: A072105 A072106 A072107 this_sequence A072109 A072110 A072111

KEYWORD

more,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 19 2002

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 28 2002 and Jul 09 2002

Corrected and extended by Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 30 2002

a(10) from Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 09 2002

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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