A070266 Maximum element in the simple continued fraction expansion of H(n) = 1+1/2+1/3+...+1/n, the n-th harmonic number.

1, 2, 5, 12, 8, 4, 5, 7, 7, 13, 50, 15, 6, 39, 43, 9, 14, 61, 25, 17, 36, 13, 5, 17, 18, 20, 68, 45, 25, 198, 88, 1090, 120, 244, 29, 29, 24, 111, 567, 22, 20, 37, 1812, 59, 41, 336, 121, 32, 37, 314, 104, 162, 289, 146, 1557, 42, 78, 639, 52, 812, 116, 32, 131, 236, 59

Offset: 1

Author

Benoit Cloitre, May 09 2002

Keywords

• easy
• nonn

Examples

			The simple continued fraction expansion of H(10) is [2, 1, 13, 12, 1, 3, 1, 2], hence a(10) = 13.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A001008, A002805, A055573.

Programs

Mathematica

Table[ Max[ ContinuedFraction[ HarmonicNumber[n]]], {n, 1, 65}]