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A143241
Expansion of Product_{k>0} (1 - x^k) / (1 - x^(6*k - 2)).
0
1, -1, -1, 0, 1, 0, -1, 1, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 1, 0, -1, 0, 0, 0, 1, 1, -1, 0, 1, 0, 0, 0, -1, -1, 1, 1, 0, 0, -1, 0, 1, 0, -1, -1, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 1, -1, -1, 1, 0, 1, 0, -1, -1, 1, 1, -1, 1, 0, -1, 1, 1, 0, -1, -1, -1, 1, 1, -1, -1, 0, 0, 1, 1, -1, -1, 0, 0, 1, 1, -1, -1, 0, 0, 1, 1, -1, -2, 0
OFFSET
0,104
COMMENTS
|a(n)|<2 if n<103, |a(n)|<3 if n<161.
FORMULA
Euler transform of period 6 sequence [ -1, -1, -1, 0, -1, -1, ...].
G.f.: Product_{k>0} (1 - x^k) / (1 - x^(6*k - 2)).
EXAMPLE
1 - q - q^2 + q^4 - q^6 + q^7 + q^8 - q^12 - q^18 + q^20 - q^22 + ...
PROG
(PARI) {a(n) = if( n<0, 0, polcoeff( prod(k=1, n, (1 - x^k)^([1, 1, 1, 1, 0, 1][k%6 + 1]), 1 + x * O(x^n)), n))}
CROSSREFS
Sequence in context: A374061 A374276 A037281 * A308064 A258825 A361162
KEYWORD
sign
AUTHOR
Michael Somos, Aug 01 2008
STATUS
approved