login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

a(n) = round(tan(Pi*(1-1/n)/2)).
0

%I #13 Jun 22 2020 07:00:44

%S 0,1,2,2,3,4,4,5,6,6,7,8,8,9,10,10,11,11,12,13,13,14,15,15,16,17,17,

%T 18,18,19,20,20,21,22,22,23,24,24,25,25,26,27,27,28,29,29,30,31,31,32,

%U 32,33,34,34,35,36,36,37,38,38,39,39,40,41,41,42,43,43,44

%N a(n) = round(tan(Pi*(1-1/n)/2)).

%p f := n->round(evalf(tan((1-1/n)*Pi/2)));

%o (PARI) a(n) = round(tan(Pi*(1-1/n)/2)); \\ _Michel Marcus_, Jun 22 2020

%Y Cf. A024811 (with floor).

%K nonn

%O 1,3

%A _N. J. A. Sloane_.

%E Offset corrected and more terms from _Sean A. Irvine_, Jun 22 2020