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A190001
a(n) = n + [n*r/t] + [n*s/t]; r=1, s=sinh(1), t=cosh(1).
3
1, 4, 6, 9, 11, 13, 16, 19, 20, 23, 26, 28, 30, 33, 35, 38, 40, 42, 45, 47, 49, 52, 54, 57, 60, 61, 64, 67, 69, 71, 74, 76, 79, 81, 83, 86, 88, 90, 93, 95, 98, 100, 102, 105, 108, 110, 112, 115, 117, 120, 122, 124, 127, 129, 131, 134, 136, 139, 141, 143, 146, 149, 150, 153, 156, 158, 161, 163, 165, 168, 171, 172, 175, 177, 180
OFFSET
1,2
COMMENTS
See A189999.
LINKS
FORMULA
A189999: a(n) = n + [n*sinh(1)] + [n*cosh(1)].
A190000: b(n) = n + [n*csch(1)] + [n*coth(1)].
A190001: c(n) = n + [n*sech(1)] + [n*tanh(1)].
MATHEMATICA
r=1; s=Sinh[1]; t=Cosh[1];
a[n_] := n + Floor[n*s/r] + Floor[n*t/r];
b[n_] := n + Floor[n*r/s] + Floor[n*t/s];
c[n_] := n + Floor[n*r/t] + Floor[n*s/t];
Table[a[n], {n, 1, 120}] ( *A189999 *)
Table[b[n], {n, 1, 120}] ( *A190000 *)
Table[c[n], {n, 1, 120}] ( *A190001 *)
PROG
(PARI) for(n=1, 100, print1(n + floor(n/cosh(1)) + floor(n*tanh(1)), ", ")) \\ G. C. Greubel, Jan 11 2018
(Magma) [n + Floor(n/Cosh(1)) + Floor(n*Tanh(1)): n in [1..100]]; // G. C. Greubel, Jan 11 2018
CROSSREFS
Sequence in context: A060106 A186222 A184814 * A189532 A094550 A122183
KEYWORD
nonn
AUTHOR
Clark Kimberling, May 03 2011
STATUS
approved