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A317627
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a(n) = A317253 - floor(8*n/3).
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2
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2, 3, 1, 1, 3, 1, 2, 1, -1, 1, 3, 1, 2, 3, 1, 1, 1, -1, 2, 1, -1, 1, 3, 1, 2, 3, 1, 1, 3, 1, 2, 1, -1, 1, 1, -1, 2, 3, 1, 1, 1, -1, 2, 1, -1, 1, 3, 1, 2, 3, 1, 1, 3, 1, 2, 1, -1, 1, 3, 1, 2, 3, 1, 1, 1, -1, 2, 1, -1, 1, 1, -1, 2, 3, 1, 1, 3, 1, 2
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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FORMULA
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a(3*n+1) = 2 - (n mod 2) for n >= 0, a(6*n+2) = 3 - 2*(n mod 2) and a(6*n+5) = a(3*n+2) for n >= 0, a(6*n+3) = 1 - 2*(n mod 2) and a(6*n+6) = a(3*n+3) for n >= 0.
a(3*n+1) = A000034(n+1) for n >= 0.
a(3*n+2) = 2*A014577(n-1)+1 for n > 0.
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PROG
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(Python)
n, f, i, p, q, base = 1, 1, 0, 0, 1, 3
while i < 100000:
....i, p, q = i+1, p*base, q*base
....if i == f:
........p, n = p+1, n+1
........f = f*n
n, a, j = 0, 0, 0
while p%q > 0:
....a, f, p, q = a+1, p//q, q, p%q
....if f == 1:
........n = n+1
........print(n, a-1-(8*n//3))
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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