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A112053 a(n) = A112046(2n) - A112046(2n-1) = A112048(n) - A112047(n). 6
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,12

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A112048(n)-A112047(n).

MATHEMATICA

a112046[n_]:=Block[{i=1}, While[JacobiSymbol[i, 2n + 1]==1, i++]; i]; Table[a112046[2n] - a112046[2n - 1] , {n, 101}] (* Indranil Ghosh, May 24 2017 *)

PROG

(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 xrange(1, 102)] # Indranil Ghosh, May 24 2017

CROSSREFS

Cf. A112046, A112047, A112048.

Indices where a(n) is not zero: A112054. Values at those points: A112059.

Sequence in context: A117370 A260943 A151756 * A089798 A070536 A030201

Adjacent sequences:  A112050 A112051 A112052 * A112054 A112055 A112056

KEYWORD

sign

AUTHOR

Antti Karttunen, Aug 27 2005

STATUS

approved

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Last modified August 18 12:24 EDT 2017. Contains 290720 sequences.