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

Author

Benoit Cloitre, Feb 01 2003

Keywords

• nonn

Crossrefs

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

Programs

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 *)

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)

Extensions

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

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