A309959 Product of digits of (n written in base 8).

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

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) * (1 + A(x^8)).

Mathematica

Table[Times @@ IntegerDigits[n, 8], {n, 0, 100}]

Prog

(Magma) [0] cat [&*Intseq(n, 8):n in [1..100]]; // Marius A. Burtea, Aug 25 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), this sequence (k = 8), A309788 (k = 9), A007954 (k = 10).

Cf. A007094, A053829.

Sequence in context: A037886 A031045 A010877 * A257848 A195831 A265521

Adjacent sequences: A309956 A309957 A309958 * A309960 A309961 A309962

Keyword

nonn,base

Author

Ilya Gutkovskiy, Aug 24 2019

Status

approved