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A112050
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Length of the longest prefix of 1's in the Jacobi-vector {J(2n+1,1),J(2n+1,2),...,J(2n+1,2n)}.
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2
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1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 4, 4, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 4, 6, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 6, 4, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 4, 4, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 6, 10, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 4, 4, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 4, 12, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 6, 4, 1, 1, 2, 2, 1, 1
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OFFSET
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1,3
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LINKS
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Table of n, a(n) for n=1..102.
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FORMULA
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a(n) = A112046(n) - 1.
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MATHEMATICA
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a112046[n_]:=Block[{i=1}, While[JacobiSymbol[i, 2n + 1]==1, i++]; i]; Table[a112046[n] - 1, {n, 102}] (* Indranil Ghosh, May 24 2017 *)
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PROG
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(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(n) - 1
print [a(n) for n in range(1, 103)] # Indranil Ghosh, May 24 2017
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CROSSREFS
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Sequence in context: A112049 A055230 A290262 * A283156 A298231 A320473
Adjacent sequences: A112047 A112048 A112049 * A112051 A112052 A112053
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KEYWORD
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nonn
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AUTHOR
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Antti Karttunen, Aug 27 2005
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EXTENSIONS
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Name clarified by Joerg Arndt, May 24 2017
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STATUS
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approved
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