A112817 Numbers k such that lcm(1,2,3,...,k)/11 equals the denominator of the k-th harmonic number H(k).

33, 34, 35, 36, 37, 38, 39, 40, 41, 81, 82, 83, 84, 85, 86, 87, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430

Offset

1,1

Comments

When 11 occurs in A110566.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Jinyuan Wang)

Mathematica

f[n_] := LCM @@ Range[n]/Denominator[ HarmonicNumber[n]]; Select[ Range[430], f[ # ] == 11 &]
Select[Range[450], 1/11*LCM@@Range[#]==Denominator[HarmonicNumber[#]]&] (* Harvey P. Dale, Jan 06 2019 *)

Crossrefs

Cf. A002805, A003418, A110566.

Cf. A098464, A112813, A112814, A112815, A112816, A112818, A112819, A112820, A112821, A112822.

Sequence in context: A067011 A291436 A165854 * A115394 A344143 A335072

Adjacent sequences: A112814 A112815 A112816 * A112818 A112819 A112820

Keyword

nonn

Author

Robert G. Wilson v, Sep 17 2005

Extensions

Name (definition) corrected by Harvey P. Dale, Jan 06 2019

Status

approved