A103833 Bisection of A102044.

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, 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, 7, 27, 3, 9, 6, 19, 4, 24, 4, 15

Offset

1,2

Comments

The sequence continues: ??137??, 24, 8, 24, ??145??, 15, ??149??, 13, 8, 24, 3, 25, 6, 11, 3, 31...

Links

Table of n, a(n) for n=1..68.

Dario Alejandro Alpern, Factorization using the Elliptic Curve Method.

Formula

a(n) = number of prime factors (with repetition) of integer part of (10^(2n) * 34 / 3333).

Example

a(6)=8 because the factorization of 10201020102 = 2 * 3 * 3 * 7 * 13 * 17 * 37 * 9901.

Mathematica

a[n_] := Plus @@ Transpose[ FactorInteger[ IntegerPart[10^(2n)*34 / 3333]]][[2]];
Table[ a[n], {n, 2, 30} ]

Crossrefs

Cf. A102044.

Sequence in context: A350509 A133945 A124219 * A226172 A281006 A046227

Adjacent sequences: A103830 A103831 A103832 * A103834 A103835 A103836

Keyword

nonn,less

Author

Robert G. Wilson v & Jonathan Vos Post, Feb 17 2005

Status

approved