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

Author

Geoffrey H. Morley, Jun 27 2013

Keywords

• nonn
• frac
• tabf

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).