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A346169
a(n) = floor(cosh(n+1) - cosh(n)).
0
0, 2, 6, 17, 46, 127, 346, 942, 2561, 6961, 18923, 51440, 139829, 380095, 1033206, 2808546, 7634421, 20752508, 56411165, 153341447, 416825269, 1133048555, 3079945300, 8372159341, 22757888603, 61862355045, 168159315586, 457104411844, 1242538616426
OFFSET
0,2
EXAMPLE
For n = 3, a(3) = 17 because the difference between cosh(4) and cosh(3) is 17.24057..., and floor(17.24057...) = 17.
MATHEMATICA
a[n_] := Floor[Cosh[n+1] - Cosh[n]]; Array[a, 30, 0] (* Amiram Eldar, Jul 12 2021 *)
PROG
(C++)
#include <iostream>
#include <cmath>
using namespace std; int main(int argc, char** argv){for (int n=0; n<=10; n++) {double val = cosh(n+1)-cosh(n); int a = floor(val); cout << a <<", "; }}
CROSSREFS
Cf. A000501.
Sequence in context: A222115 A190050 A005592 * A102403 A278428 A344433
KEYWORD
nonn
AUTHOR
Treanungkur Mal, Jul 08 2021
EXTENSIONS
More terms from Jinyuan Wang, Jul 08 2021
STATUS
approved