%I #10 Dec 27 2017 01:41:42
%S 2,4,7,10,13,15,18,21,23,27,29,32,35,37,40,43,46,48,51,54,56,59,62,65,
%T 67,71,73,75,79,81,84,87,90,92,94,98,100,103,106,109,111,114,117,119,
%U 123,125,127,131,133,136,138,142,144,146,150,152,155,158,161,163,166,169,171,175,177,180,182,185,188,190,194,196,199,202,204,207
%N a(n) = n + [nr/s] + [nt/s]; r=1/2, s=sinh(1), t=cosh(1).
%C See A190265.
%H G. C. Greubel, <a href="/A190279/b190279.txt">Table of n, a(n) for n = 1..10000</a>
%F A190265: a(n)=n+[2n*sinh(1)]+[2n*cosh(1)].
%F A190279: b(n)=n+[(n/2)*csch(1)]+[n*coth(1)].
%F A190280: c(n)=n+[(n/2)*sech(1)]+[n*tanh(1)].
%t r=1/2; s=Sinh[1]; t=Cosh[1];
%t a[n_] := n + Floor[n*s/r] + Floor[n*t/r];
%t b[n_] := n + Floor[n*r/s] + Floor[n*t/s];
%t c[n_] := n + Floor[n*r/t] + Floor[n*s/t];
%t Table[a[n], {n, 1, 120}] (*A190265*)
%t Table[b[n], {n, 1, 120}] (*A190279*)
%t Table[c[n], {n, 1, 120}] (*A190280*)
%Y Cf. A190265, A190280.
%K nonn
%O 1,1
%A _Clark Kimberling_, May 07 2011
|