A226606 Irregular array read by rows in which a(n) is the denominator of the rational number, in a 3x+1 cycle, with numerator A226605(n).

1, 1, 1, 1, 5, 11, 7, 13, 49, 5, 5, 23, 23, 29, 179, 17, 17, 37, 37, 37, 11, 55, 61, 601, 115, 115, 47, 115, 47, 47, 101, 47, 47, 101, 101, 101, 119, 101, 17, 119, 125, 1931, 473, 473, 13, 473, 13, 13, 35, 13, 13, 175, 13, 175, 175, 229, 13, 35, 175, 25, 229

Offset

1,5

Links

Geoffrey H. Morley, Rows 1..16 of array, flattened

See A226605 for other link(s).

Formula

If v(0) to v(m-1) are the bits of A102659(n), when 2's are replaced by 0's, then a(n) = D(n)/GCD(N(n),D(n)) where D(n) = 2^m - 3^(v(0)+...+v(m-1)) and N(n) = Sum_{j=0 to m-1} (2^j)(3^(v(j+1)+...+v(m-1)))v(j).

Crossrefs

Sequence in context: A079778 A172183 A088213 * A226619 A367705 A068419

Adjacent sequences: A226603 A226604 A226605 * A226607 A226608 A226609

Keyword

nonn,frac,tabf

Author

Geoffrey H. Morley, Jun 27 2013

Status

approved