A244233 - OEIS

A244233

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

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

(list; graph; refs; listen; history; text; internal format)

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

Antti Karttunen, Table of n, a(n) for n = 0..4862

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.

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

Sequence in context: A244966 A079100 A296167 * A227345 A123262 A191906

Adjacent sequences: A244230 A244231 A244232 * A244234 A244235 A244236

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 25 2014

STATUS

approved