A109237 a(n) = floor(n*coth(1)).

1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 21, 22, 23, 24, 26, 27, 28, 30, 31, 32, 34, 35, 36, 38, 39, 40, 42, 43, 44, 45, 47, 48, 49, 51, 52, 53, 55, 56, 57, 59, 60, 61, 63, 64, 65, 66, 68, 69, 70, 72, 73, 74, 76, 77, 78, 80, 81, 82, 84, 85, 86

Offset

1,2

Comments

Beatty sequence for coth(1) = (e^2+1)/(e^2-1) = 1.31303... = A073747; complement of A109238.

From Reinhard Zumkeller, Aug 11 2009: (Start)

a(n) = A164087(n) for n <= 20;

a(n) = A109239(A109238(n)) and A109239(a(n)) = A109238(n). (End)

Links

Table of n, a(n) for n=1..66.

Eric Weisstein's World of Mathematics, Hyperbolic Cotangent

Eric Weisstein's World of Mathematics, Beatty Sequence

Index entries for sequences related to Beatty sequences

Crossrefs

Cf. A109238, A109239, A109231, A109234.

Cf. A073747.

Sequence in context: A194375 A188222 A329990 * A164087 A187386 A059531

Adjacent sequences: A109234 A109235 A109236 * A109238 A109239 A109240

Keyword

nonn

Author

Reinhard Zumkeller, Jun 23 2005

Extensions

Typo in comment corrected by Reinhard Zumkeller, Aug 10 2009

Status

approved