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A097366 Largest k such that 2^k divides A096421(n). +0
3
1, 2, 2, 3, 3, 5, 4, 8, 5, 7, 6, 7, 7, 10, 8, 9, 9, 11, 10, 11, 11, 13, 12, 15, 13, 16, 14, 17, 15, 17, 16, 18, 17, 21, 18, 19, 19, 21, 20, 23, 21, 23, 22, 23, 23, 27, 24, 27, 25, 27, 26, 27, 27, 29, 28, 30, 29, 33, 30, 31, 31, 33, 32, 34, 33, 35, 34, 36, 35, 38, 36, 39, 37, 39, 38 (list; graph; listen)
OFFSET

3,2

COMMENT

Exponent of 2 in prime factorization of A096421(n).

Observation: a(n) = (n-1)/2 for odd n.

EXAMPLE

A096421(10) = 1792 = 2^8 * 7, so a(10) = 8.

PROGRAM

(PARI) {m=77; v=vector(m); v[1]=1; for(n=2, m, s=0; for(j=1, n-1, if(gcd(j, n)==1, s=s+v[j]*v[n-j])); v[n]=s); for(i=3, m, print1(factor(v[i])[1, 2], ", "))}

CROSSREFS

Cf. A096421, A097365.

Sequence in context: A035574 A036819 A114328 this_sequence A139807 A033302 A072729

Adjacent sequences: A097363 A097364 A097365 this_sequence A097367 A097368 A097369

KEYWORD

nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 09 2004

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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