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A094114
a(n) = -Sum_{i=1..n-1} (-1)^i*2^valuation(i,3).
1
0, 1, 0, 2, 1, 2, 0, 1, 0, 4, 3, 4, 2, 3, 2, 4, 3, 4, 0, 1, 0, 2, 1, 2, 0, 1, 0, 8, 7, 8, 6, 7, 6, 8, 7, 8, 4, 5, 4, 6, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 8, 7, 8, 0, 1, 0, 2, 1, 2, 0, 1, 0, 4, 3, 4, 2, 3, 2, 4, 3, 4, 0, 1, 0, 2, 1, 2, 0, 1, 0, 16, 15, 16, 14, 15, 14, 16, 15, 16, 12, 13, 12, 14, 13, 14, 12
OFFSET
1,4
LINKS
Robert Ferréol (MathCurve), Cantor's (ternary) set [in French]
MAPLE
a:= n-> -add((-1)^i*2^padic[ordp](i, 3), i=1..n-1):
seq(a(n), n=1..100); # Alois P. Heinz, Jan 05 2021
MATHEMATICA
a[n_] := Sum[(-1)^(i+1) * 2^IntegerExponent[i, 3], {i, 1, n-1}]; Array[a, 100] (* Amiram Eldar, Jun 17 2022 *)
PROG
(PARI) a(n)=-sum(i=1, n-1, (-1)^i*2^valuation(i, 3))
CROSSREFS
Sequence in context: A213890 A226460 A358360 * A104607 A368734 A120728
KEYWORD
nonn
AUTHOR
Benoit Cloitre, May 03 2004
STATUS
approved