A032615 - OEIS

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A032615

a(n) = floor(n/Pi).

0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 23, 23, 23, 24

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OFFSET

0,8

COMMENTS

a(n) = A062300(n-1) = floor(1/sin(Pi/n)) for almost all indices, the next exception after n = 6 being n = 80143857, cf. link to Kevin Ryde's post to the SeqFan list. - M. F. Hasler, Oct 20 2016

LINKS

Table of n, a(n) for n=0..76.

R. Israel, in reply to K. Ryde, Re: nearly equal floor(n/Pi) A032615 and A062300, SeqFan list, Oct 19 2016.

Index entries for sequences related to Beatty sequences

MAPLE

A032615:=n->floor(n/Pi); seq(A032615(n), n=0..100); # Wesley Ivan Hurt, Dec 10 2013

MATHEMATICA

Table[Floor[n/Pi], {n, 0, 100}] (* Wesley Ivan Hurt, Dec 10 2013 *)

PROG

(PARI) a(n)=n\Pi \\ Charles R Greathouse IV, Dec 10 2013

CROSSREFS

Cf. A062300. Beatty seq. of A049541.