

A309958


Product of digits of (n written in base 7).


3



0, 1, 2, 3, 4, 5, 6, 0, 1, 2, 3, 4, 5, 6, 0, 2, 4, 6, 8, 10, 12, 0, 3, 6, 9, 12, 15, 18, 0, 4, 8, 12, 16, 20, 24, 0, 5, 10, 15, 20, 25, 30, 0, 6, 12, 18, 24, 30, 36, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 0, 2, 4, 6, 8, 10, 12, 0, 3, 6, 9, 12, 15, 18, 0, 4, 8, 12, 16, 20, 24, 0, 5, 10, 15, 20, 25, 30, 0, 6, 12, 18, 24, 30, 36, 0, 0, 0
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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) * (1 + A(x^7)).


MATHEMATICA

Table[Times @@ IntegerDigits[n, 7], {n, 0, 100}]


PROG

(MAGMA) [0] cat [&*Intseq(n, 7):n in [1..100]]; // Marius A. Burtea, Aug 25 2019
(PARI) a(n) = my(v=vecprod(digits(n, 7))); n>0 && return(v) \\ Felix FrÃ¶hlich, Sep 09 2019


CROSSREFS

Product of digits of (n written in base k): A309953 (k = 3), A309954 (k = 4), A309956 (k = 5), A309957 (k = 6), this sequence (k = 7), A309959 (k = 8), A309788 (k = 9), A007954 (k = 10).
Cf. A007093, A053828.
Sequence in context: A037885 A031007 A010876 * A055400 A257847 A194757
Adjacent sequences: A309955 A309956 A309957 * A309959 A309960 A309961


KEYWORD

nonn,base


AUTHOR

Ilya Gutkovskiy, Aug 24 2019


STATUS

approved



