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A244233
Product of "digit values" in Semigreedy Catalan Representation of n, A244159.
5
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, 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, 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
OFFSET
0,5
COMMENTS
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.
LINKS
FORMULA
For all n, a(A014138(n)) = 1 and a(A014143(n)) = A000142(n+1).
PROG
(Scheme) (define (A244233 n) (apply * (vector->list (A244159raw n)))) ;; A244159raw given in A244159.
CROSSREFS
A244314 gives the positions of zeros.
Sequence in context: A244966 A079100 A296167 * A227345 A123262 A191906
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jun 25 2014
STATUS
approved