

A309788


Product of digits of (n written in base 9).


3



0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 2, 4, 6, 8, 10, 12, 14, 16, 0, 3, 6, 9, 12, 15, 18, 21, 24, 0, 4, 8, 12, 16, 20, 24, 28, 32, 0, 5, 10, 15, 20, 25, 30, 35, 40, 0, 6, 12, 18, 24, 30, 36, 42, 48, 0, 7, 14, 21, 28, 35, 42, 49, 56, 0, 8, 16, 24, 32, 40, 48, 56, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 2
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OFFSET

0,3


LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000


FORMULA

G.f. A(x) satisfies: A(x) = x * (1 + 2*x + 3*x^2 + 4*x^3 + 5*x^4 + 6*x^5 + 7*x^6 + 8*x^7) * (1 + A(x^9)).


MATHEMATICA

Table[Times @@ IntegerDigits[n, 9], {n, 0, 100}]


PROG

(MAGMA) [0] cat [&*Intseq(n, 9):n in [1..100]]; // Marius A. Burtea, Aug 26 2019


CROSSREFS

Product of digits of (n written in base k): A309953 (k = 3), A309954 (k = 4), A309956 (k = 5), A309957 (k = 6), A309958 (k = 7), A309959 (k = 8), this sequence (k = 9), A007954 (k = 10).
Cf. A007095, A053830.
Sequence in context: A235049 A031087 A010878 * A326746 A257849 A190727
Adjacent sequences: A309785 A309786 A309787 * A309789 A309790 A309791


KEYWORD

nonn,base,look


AUTHOR

Ilya Gutkovskiy, Aug 26 2019


STATUS

approved



