A112059 Nonzero terms of A112053 and A112080.

2, -2, 4, 8, -2, 12, -6, 12, 2, -2, -6, 18, -6, 2, -6, -4, 2, -2, 18, 2, -2, 24, 6, -2, 6, -8, 4, 2, -2, -6, 32, -6, 2, -6, -10, 2, -2, 28, 2, -2, 4, 38, -2, 6, -6, 4, 2, -2, -4, 42, -6, 2, -8, -4, 2, -2, 2, -2, 6, 8, -2, 48, -6, 4, 2, -2, -10, 6, -12, 2, -6, -4, 2, -2, 2, -2, 52, 8

Offset: 1

Author

Antti Karttunen, Aug 27 2005

Keywords

• sign

Links

• Antti Karttunen, Table of n, a(n) for n = 1..4096

Crossrefs

Cf. A112053, A112054, A112080.

Programs

Python

from sympy import jacobi_symbol as J
def a112046(n):
    i=1
    while True:
        if J(i, 2*n + 1)!=1: return i
        else: i+=1
def a(n): return a112046(2*n) - a112046(2*n - 1)
print([a(n) for n in range(1, 201) if a(n)!=0]) # Indranil Ghosh, May 25 2017

Formula

a(n) = A112053(A112054(n)).