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A092779
Exponent of 2 in central fibonomial coefficient A003267.
0
0, 0, 1, 2, 2, 3, 1, 1, 2, 3, 3, 4, 1, 1, 2, 3, 3, 4, 2, 2, 3, 4, 4, 5, 1, 1, 2, 3, 3, 4, 2, 2, 3, 4, 4, 5, 2, 2, 3, 4, 4, 5, 3, 3, 4, 5, 5, 6, 1, 1, 2, 3, 3, 4, 2, 2, 3, 4, 4, 5, 2, 2, 3, 4, 4, 5, 3, 3, 4, 5, 5, 6, 2, 2, 3, 4, 4, 5, 3, 3, 4, 5, 5, 6, 3, 3, 4, 5, 5, 6, 4, 4, 5, 6, 6, 7, 1, 1, 2, 3, 3, 4, 2
OFFSET
0,4
MATHEMATICA
Table[IntegerExponent[Round[GoldenRatio^(n^2) QBinomial[2 n, n, -1/GoldenRatio^2]], 2], {n, 0, 30}] (* Vladimir Reshetnikov, Sep 27 2016 *)
PROG
(PARI) a(n)=valuation(prod(m=0, n-1, fibonacci(2*n-m))/prod(m=1, n, fibonacci(m)), 2)
CROSSREFS
Sequence in context: A208970 A213939 A267485 * A328067 A355792 A286093
KEYWORD
nonn
AUTHOR
Ralf Stephan, Apr 14 2004
EXTENSIONS
a(0) = 0 added and offset changed from 1 to 0 by Vladimir Reshetnikov, Sep 27 2016
STATUS
approved