A126083 a(n) = numerator of H(n) taken mod n, where H(n) = Sum_{k=1..n} 1/k is the n-th harmonic number.

0, 1, 2, 1, 2, 1, 6, 1, 1, 1, 1, 5, 4, 3, 2, 15, 5, 13, 11, 15, 11, 13, 8, 19, 17, 3, 23, 19, 1, 7, 20, 15, 13, 33, 19, 25, 17, 9, 28, 13, 20, 35, 27, 35, 22, 43, 28, 23, 17, 9, 20, 7, 29, 17, 19, 53, 53, 15, 7, 31, 46, 7, 34, 27, 24, 7, 11, 47, 11, 13, 42, 61, 56, 25, 58, 9, 66, 29, 44

Offset: 1

Author

Leroy Quet, Mar 02 2007

Keywords

• nonn

Links

• T. D. Noe, Table of n, a(n) for n=1..10000

Crossrefs

Cf. A001008.

Programs

Mathematica

seq = {}; s = 0; Do[s += 1/n; AppendTo[seq, Mod[Numerator[s], n]], {n, 1, 79}]; seq (* Amiram Eldar, Dec 01 2020 *)
Table[Mod[Numerator[HarmonicNumber[n]],n],{n,80}] (* Harvey P. Dale, Apr 04 2022 *)

Extensions

More terms from Max Alekseyev, Mar 06 2007