A079039 Fractional part of cosh(n) decreases monotonically to zero.

1, 3, 22, 29, 45, 75, 135, 259, 863, 1786, 2483, 2538, 5731, 16095, 36692, 94720

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Mathematica

$MaxExtraPrecision = 2^16; k = 1; lst = {}; mn = Infinity; While[k < 100001, a = FractionalPart@ Cosh@k; If[a < mn, mn = a; AppendTo[lst, k]; Print@k]; k++ ]; lst (* Robert G. Wilson v, Jul 30 2010 *)

Prog

(PARI) x=1; y=1; a(n)=if(n<0, 0, b=y+1; while(frac(cosh(b))>frac(cosh(x)), b++); x=b; y=b; b)

Crossrefs

Cf. A046947 ( for abs(sin(x)) ).

Sequence in context: A134924 A042547 A269799 * A209987 A332095 A337371

Adjacent sequences: A079036 A079037 A079038 * A079040 A079041 A079042

Keyword

nonn

Author

Benoit Cloitre, Feb 01 2003

Extensions

Terms 1786, 2483, 2538 from Zak Seidov, Jul 28 2010

a(9) - a(15) from Robert G. Wilson v, Jul 30 2010

Status

approved