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Fractional part of sinh(n) decreases monotonically to zero.
0

%I #23 Apr 06 2020 09:08:53

%S 1,3,45,75,135,259,863,1786,2483,2538,5731,16095,36692,94720

%N Fractional part of sinh(n) decreases monotonically to zero.

%t $MaxExtraPrecision = Infinity; t = 1; Do[s = FractionalPart[Sinh[n]]; If[s < t, Print[n]; t = s;], {n, 1, 10000}]; (* _Vaclav Kotesovec_, Apr 06 2020 *)

%o (PARI) lista(nn) = {my(b=2, r=1); print1(1); for(n=1, nn, until(frac(sinh(b))<r, default(realprecision, b++)); print1(", ", b); r=frac(sinh(b))); } \\ Modified by _Jinyuan Wang_, Apr 04 2020

%Y Cf. A046947 (for abs(sin(n))).

%K nonn,more

%O 0,2

%A _Benoit Cloitre_, Feb 01 2003

%E a(8)-a(12) from _Jinyuan Wang_, Apr 03 2020

%E a(13) from _Vaclav Kotesovec_, Apr 06 2020