%I #9 Jul 09 2023 09:51:35
%S 0,3,2,5,2,8,1,7,1,8,3,11,3,9,7,12,2,13,5,12,5,12,1,14,4,10,2,13,4,21,
%T 6,16,4,11,2,19,4,7,2,16,7,23,4,16,4,11,4,23,3,18,3,14,3,21,5,18,2,14,
%U 7,27,3,9,6,19,4,24,4,15
%N Bisection of A102044.
%C The sequence continues: ??137??, 24, 8, 24, ??145??, 15, ??149??, 13, 8, 24, 3, 25, 6, 11, 3, 31...
%H Dario Alejandro Alpern, <a href="https://www.alpertron.com.ar/ECM.HTM">Factorization using the Elliptic Curve Method</a>.
%F a(n) = number of prime factors (with repetition) of integer part of (10^(2n) * 34 / 3333).
%e a(6)=8 because the factorization of 10201020102 = 2 * 3 * 3 * 7 * 13 * 17 * 37 * 9901.
%t a[n_] := Plus @@ Transpose[ FactorInteger[ IntegerPart[10^(2n)*34 / 3333]]][[2]];
%t Table[ a[n], {n, 2, 30} ]
%Y Cf. A102044.
%K nonn,less
%O 1,2
%A _Robert G. Wilson v_ & _Jonathan Vos Post_, Feb 17 2005