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A076401 Sum of divisors of n-th perfect power. 2
1, 7, 15, 13, 31, 31, 40, 63, 91, 57, 127, 121, 217, 133, 156, 255, 403, 183, 399, 600, 403, 364, 511, 307, 847, 400, 381, 961, 741, 931, 1023, 553, 1651, 781, 1281, 1093, 1767, 871, 2821, 993, 2340, 2047, 1729, 2149, 1767, 3751, 1464, 1407, 2667, 2379 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Perfect Powers.

Eric Weisstein's World of Mathematics, Divisor Function.

FORMULA

a(n) = A000203(A001597(n)).

MAPLE

N:= 10^4: # to use all perfect powers <= N

L:= sort(convert({seq(seq(i^k, i=1..floor(N^(1/k))), k=2..ilog2(N))}, list)):

map(numtheory:-sigma, L); # Robert Israel, Oct 02 2014

PROG

(PARI) lista(nn) = {for (n=1, nn, if ((n==1) || ispower(n), print1(sigma(n), ", ")); ); } \\ Michel Marcus, Oct 02 2014

CROSSREFS

Cf. A000203, A001597, A076400.

Sequence in context: A290621 A290629 A234861 * A180114 A204740 A244536

Adjacent sequences:  A076398 A076399 A076400 * A076402 A076403 A076404

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Oct 09 2002

STATUS

approved

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Last modified September 29 06:25 EDT 2022. Contains 357082 sequences. (Running on oeis4.)