OFFSET
1,3
REFERENCES
G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Fifth edition, Oxford University Press, Chap. XXII, p. 357.
LINKS
Ivan Neretin, Table of n, a(n) for n = 1..10000
Paul Turán, On a theorem of Hardy and Ramanujan, Journal of the London Mathematical Society, Vol. s1-9, No. 4 (1934), pp. 274-276.
FORMULA
a(n) = Sum_{k=1..n} A001221(k)^2.
a(n) = n*log(log(n))^2 + O(n*log(log(n))) (Turán, 1934).
a(n) = Sum_{k>=1} k^2 * A346617(n,k). - Alois P. Heinz, Aug 19 2021
MATHEMATICA
Accumulate@((PrimeNu@Range@62)^2) (* Ivan Neretin, Mar 16 2017 *)
PROG
(PARI) a(n) = sum(k=1, n, omega(k)^2); \\ Michel Marcus, Mar 16 2017
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Benoit Cloitre, Apr 30 2002
STATUS
approved