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A112058 Mean of A112056 and A112057. 4
48, 72, 120, 168, 192, 288, 312, 360, 408, 432, 480, 528, 552, 648, 672, 720, 768, 792, 840, 888, 912, 960, 1008, 1032, 1128, 1152, 1200, 1248, 1272, 1320, 1368, 1392, 1488, 1512, 1560, 1608, 1632, 1680, 1728, 1752, 1800, 1848, 1872, 1968 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..44.

FORMULA

a(n) = 4*A112054(n).

MATHEMATICA

a112046[n_]:=Block[{i=1}, While[JacobiSymbol[i, 2n + 1]==1, i++]; i]; 4*Select[Range[1000], a112046[2#] - a112046[2# - 1] != 0 &] (* 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([4*n for n in range(1, 1001) if a(n)!=0]) # Indranil Ghosh, May 24 2017

CROSSREFS

a(n) = A112056(n)+1 = A112057(n)-1 = (A112056(n)+A112057(n))/2.

Sequence in context: A173042 A309933 A124309 * A033821 A334899 A165039

Adjacent sequences:  A112055 A112056 A112057 * A112059 A112060 A112061

KEYWORD

nonn

AUTHOR

Antti Karttunen, Aug 27 2005

STATUS

approved

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Last modified August 5 01:51 EDT 2021. Contains 346456 sequences. (Running on oeis4.)