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Product of "digit values" in Semigreedy Catalan Representation of n, A244159.
5

%I #15 Jul 05 2014 14:10:40

%S 1,1,0,1,2,0,0,0,1,2,2,4,6,2,0,0,0,0,0,0,0,0,1,2,2,4,6,2,4,4,8,12,12,

%T 18,24,12,2,4,4,8,12,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,

%U 2,2,4,6,2,4,4,8,12,12,18,24,12,2,4,4,8,12,4,8,8,16,24,24,36,48,24,36,36,54,72,72,96,120,72,24,36,36,54,72,36,2,4,4,8,12,4,8,8,16,24,24,36,48,24,4,8,8,16,24,8,16,16,32,48,48,72,0

%N Product of "digit values" in Semigreedy Catalan Representation of n, A244159.

%C Note that a(33604) = 10! = 3628800 because the product is computed from the underlying list (vector) of numbers, and thus is not subject to any corruption by decimal representation as A244159 itself is.

%H Antti Karttunen, <a href="/A244233/b244233.txt">Table of n, a(n) for n = 0..4862</a>

%F For all n, a(A014138(n)) = 1 and a(A014143(n)) = A000142(n+1).

%o (Scheme) (define (A244233 n) (apply * (vector->list (A244159raw n)))) ;; A244159raw given in A244159.

%Y A244314 gives the positions of zeros.

%Y Cf. A000108, A244159, A244231, A244232, A244318.

%K nonn

%O 0,5

%A _Antti Karttunen_, Jun 25 2014

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