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

Offset: 0

Author

Antti Karttunen, Jun 25 2014

Keywords

• nonn

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

Crossrefs

A244314 gives the positions of zeros.

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

Programs

Scheme

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

Formula

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