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A190280
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a(n) = n + [nr/t] + [ns/t]; r=1/2, s=sinh(1), t=cosh(1).
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3
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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
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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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)].
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MATHEMATICA
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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*)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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