A274088 a(n) = nearest integer to n^2 * sin(sqrt(n)).

0, 1, 4, 9, 15, 20, 23, 23, 20, 11, -2, -21, -46, -76, -111, -150, -194, -240, -289, -339, -389, -437, -484, -527, -566, -599, -626, -645, -656, -658, -649, -630, -600, -559, -505, -440, -362, -273, -171, -58, 66, 201, 346, 501, 664, 835, 1013, 1197, 1385, 1577, 1772, 1968, 2164, 2359, 2551, 2740

Offset: 0

Author

N. J. A. Sloane, Jun 10 2016

Keywords

• sign
• look

Links

• N. J. A. Sloane and Chai Wah Wu, Table of n, a(n) for n = 0..10000 [Terms n = 0..1000 from N. J. A. Sloane].

Crossrefs

Sequences of the same type: A272695, A274086, A274087, A274088, A274090, A274091, A274092, A274095, A274096, A274097, A274101, A274102.

Programs

Maple

Digits:=50: f:=n->round(evalf(n^2*sin(sqrt(n)))); [seq(f(n),n=0..120)];

Mathematica

Table[Round[n^2 * Sin[Sqrt[n]]], {n,0,50}] (* G. C. Greubel, Jun 10 2016 *)

Python

from sympy import sin, sqrt
def A274088(n):
    return int((n**2*sin(sqrt(n))).round()) # Chai Wah Wu, Jun 10 2016