A079121 a(n+1) = floor((1/n)*(Sum_{k=1..n} a(k)^((n+1)/k))), given a(0)=1, a(1)=3, a(2)=8.

1, 3, 8, 24, 71, 207, 603, 1755, 5109, 14871, 43290, 126034, 366964, 1068555, 3111755, 9062483, 26394933, 76881876, 223952645, 652403269, 1900652886, 5537521144, 16134412398, 47012725228, 136994031518, 399219097098

Offset

0,2

Links

Robert Israel, Table of n, a(n) for n = 0..400

Example

a(4)=71 since 71 = floor((1/3)*(3^(4/1) + 8^(4/2) + 24^(4/3))).

Maple

A[0]:= 1:
A[1]:= 3:
A[2]:= 8:
for n from 2 to 99 do
  A[n+1]:= floor(1/n*add(A[k]^((n+1)/k), k=1..n));
od:
seq(A[i], i=0..100); # Robert Israel, Sep 05 2018

Crossrefs

Cf. A079116 - A079120.

Sequence in context: A078055 A291613 A238126 * A027077 A291243 A153774

Adjacent sequences: A079118 A079119 A079120 * A079122 A079123 A079124

Keyword

nonn

Author

Paul D. Hanna, Dec 27 2002

Extensions

Definition corrected by Robert Israel, Sep 05 2018

Status

approved