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A274096 a(n) = nearest integer to k*sin(sqrt(k)+j*Pi/2) where n = 2*k+j, 0<=j<=1.

%I A274096 #14 Jul 29 2023 06:42:46
%S A274096 0,0,1,1,2,0,3,0,4,-2,4,-3,4,-5,3,-6,2,-8,1,-9,0,-10,-2,-11,-4,-11,-6,
%T A274096 -12,-8,-12,-10,-11,-12,-10,-14,-9,-16,-8,-18,-7,-19,-5,-21,-3,-22,0,
%U A274096 -23,2,-24,4,-24,7,-24,10,-24,13,-23,15,-23,18,-22,21,-20,23,-19,26,-17,28,-15,31,-13,33
%N A274096 a(n) = nearest integer to k*sin(sqrt(k)+j*Pi/2) where n = 2*k+j, 0<=j<=1.
%H A274096 Chai Wah Wu, <a href="/A274096/b274096.txt">Table of n, a(n) for n = 0..10000</a>
%o A274096 (Python)
%o A274096 from sympy import sin, sqrt, pi
%o A274096 def f(n, t = 1):
%o A274096     k, j = divmod(n,t)
%o A274096     return int((k*sin(sqrt(k)+j*pi/2)).round())
%o A274096 A274096_list = [f(n,2) for n in range(10001)] # _Chai Wah Wu_, Jun 11 2016
%Y A274096 Sequences of the same type: A272695, A274086, A274087, A274088, A274090, A274091, A274092, A274095, A274096, A274097, A274101, A274102.
%K A274096 sign
%O A274096 0,5
%A A274096 _N. J. A. Sloane_, Jun 11 2016