OFFSET
1,2
COMMENTS
Values of k are 0, 1, 1, 2, 2, 4, 6, 3, 4, 5, 10, 4, 12, 16, 18, 22, 28, 30, 36, 40, 42, 6, 46, 7, 52, 58, 60, 66, 70, 72, 7, 78, 82, 88, 96, 100, 102, 106, 108, 10, 112, 126, 11, 130, 136, 138, 148, 150, ...
EXAMPLE
d(25^0) + d(25^1) + d(25^2) +d(25^3) + d(25^4) = 1 + 3 + 5 + 7 + 9 = 25;
d(91^0) + d(91^1) + d(91^2) + d(91^3) + d(91^4) + d(91^5) = 1 + 4 + 9 + 16 + 25 + 36 = 91;
d(2072^0) + d(2072^1) + d(2072^2) + d(2072^3) + d(2072^4) + d(2072^5) + d(2072^6) = 1 + 16 + 63 + 160 + 325 + 576 + 931 = 2072.
MAPLE
with(numtheory): P:= proc(q) local a, k, n;
for n from 1 to q do a:=0; k:=-1;
while a<n do k:=k+1; a:=a+tau(n^k); od;
if a=n then print(n); fi; od; end: P(10^9);
CROSSREFS
KEYWORD
nonn
AUTHOR
Paolo P. Lava, Oct 27 2015
STATUS
approved