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A108700 Number of compositions of n into odd and relatively prime parts. 0

%I

%S 1,1,1,3,4,7,12,21,32,54,88,141,232,376,604,987,1596,2576,4180,6762,

%T 10932,17710,28656,46347,75020,121392,196384,317808,514228,831978,

%U 1346268,2178309,3524488,5702886,9227448,14930208,24157816,39088168

%N Number of compositions of n into odd and relatively prime parts.

%F a(n) = A007436(n) if n is odd, else a(n) = a(n/2)+ A007436(n).

%t a[n_] := a[n] = Module[{d = Divisors[n]}, m = Plus @@ (MoebiusMu /@ (n/d)*Fibonacci /@ d); If[ OddQ[n], m, a[n/2] + m]]; Table[ a[n], {n, 38}] (from _Robert G. Wilson v_, Jun 21 2005)

%Y Cf. A000740.

%K easy,nonn

%O 1,4

%A _Vladeta Jovovic_, Jun 19 2005

%E More terms from _Robert G. Wilson v_, Jun 21 2005

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Last modified May 24 20:57 EDT 2013. Contains 225631 sequences.