A113124 Denominator of next-best approximation to harmonic numbers. a(n) = Denominator of (A055573(n)-1)th convergent of n-th harmonic number, Sum_{k=1..n} 1/k.

1, 1, 1, 1, 7, 9, 27, 39, 649, 901, 4729, 6821, 52783, 27043, 51067, 273281, 1043807, 271979, 11378119, 6452207, 141997, 377141, 42943389, 58933037, 2653340203, 1122077597, 21027833867, 18159496967, 1090528730477, 236529224117

Offset: 1

Author

Leroy Quet, Oct 14 2005

Keywords

• easy
• frac
• nonn

Comments

A100398 gives terms of continued fractions of harmonic numbers.

Examples

			H(6) = 49/20 = 2 +1/(2 +1/(4 +1/2)), so a(6) = denominator of 2 +1/(2 +1/4) = 22/9.
		

Crossrefs

Cf. A100398, A055573, A113123.

Extensions

More terms from Joshua Zucker, May 08 2006