cp's OEIS Frontend

A274102 a(n) = nearest integer to k*sin(sqrt(k)+j*Pi) where n = 2*k+j, j=0 or 1.

%I A274102 #19 Jun 20 2016 19:34:16
%S A274102 0,0,1,-1,2,-2,3,-3,4,-4,4,-4,4,-4,3,-3,2,-2,1,-1,0,0,-2,2,-4,4,-6,6,
%T A274102 -8,8,-10,10,-12,12,-14,14,-16,16,-18,18,-19,19,-21,21,-22,22,-23,23,
%U A274102 -24,24,-24,24,-24,24,-24,24,-23,23,-23,23,-22,22,-20,20,-19,19,-17,17,-15,15,-13,13,-10,10,-7
%N A274102 a(n) = nearest integer to k*sin(sqrt(k)+j*Pi) where n = 2*k+j, j=0 or 1.
%H A274102 N. J. A. Sloane, <a href="/A274102/b274102.txt">Table of n, a(n) for n = 0..10000</a>
%F A274102 a(2n) = A274095(n), a(2n+1) = -A274095(n). - _Chai Wah Wu_, Jun 11 2016
%p A274102 Digits:=50:
%p A274102 ft:=proc(n,t) local k,j;
%p A274102 j:=(n mod t); k:=(n-j)/t;
%p A274102 round(evalf(k*sin(sqrt(k)+j*Pi)));
%p A274102 end;
%p A274102 [seq(ft(n,2),n=0..120)];
%Y A274102 Sequences of the same type: A272695, A274086, A274087, A274088, A274090, A274091, A274092, A274095, A274096, A274097, A274101, A274102.
%K A274102 sign
%O A274102 0,5
%A A274102 _N. J. A. Sloane_, Jun 11 2016
%E A274102 Definition corrected by _N. J. A. Sloane_, Jun 20 2016