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A190280 a(n) = n + [nr/t] + [ns/t];  r=1/2, s=sinh(1), t=cosh(1). 3
1, 3, 5, 8, 9, 11, 14, 16, 17, 20, 22, 24, 26, 28, 30, 33, 34, 36, 39, 41, 42, 45, 47, 49, 52, 53, 55, 58, 60, 61, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 85, 86, 88, 91, 93, 95, 97, 99, 101, 104, 105, 107, 110, 112, 113, 116, 118, 120, 122, 124, 126, 129, 130, 132, 135, 137, 139, 141, 143, 145, 148, 149, 151, 153, 156, 157, 159, 162 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A190265.

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

FORMULA

A190265:  a(n)=n+[2n*sinh(1)]+[2n*cosh(1)].

A190279:  b(n)=n+[(n/2)*csch(1)]+[n*coth(1)].

A190280:  c(n)=n+[(n/2)*sech(1)]+[n*tanh(1)].

MATHEMATICA

r=1/2; 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}]  (*A190265*)

Table[b[n], {n, 1, 120}]  (*A190279*)

Table[c[n], {n, 1, 120}]  (*A190280*)

CROSSREFS

Cf. A190265, A190279.

Sequence in context: A286048 A026223 A034784 * A261786 A124401 A292526

Adjacent sequences:  A190277 A190278 A190279 * A190281 A190282 A190283

KEYWORD

nonn

AUTHOR

Clark Kimberling, May 07 2011

STATUS

approved

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Last modified May 19 17:01 EDT 2019. Contains 323395 sequences. (Running on oeis4.)