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A100910 Table of number of occurrences in n of each decimal digit from 0 to 9. 4
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Each row of this table has length 10 and corresponds to one term of A100909. n = 0 is normally represented as the single digit 0, so the first row here is 1, 0, 0, 0, 0, 0, 0, 0, 0, 0.

LINKS

Robert Israel, Table of n, a(n) for n = 0..10009 (rows 0 to 1000, flattened)

FORMULA

From Robert Israel, Jul 08 2016: (Start)

a(n,k) = a(A059995(n),k) + (1 if A010879(n)=k, otherwise 0).

G.f. g(x,y) satisfies g(x,y) = ((1-x^10)/(1-x))*g(x^10,y) + (x^10-x)/(1-x) + x^10/(1-x^10) + x*y*(1-x^9*y^9)/((1-x^10)*(1-x*y)). (End)

MAPLE

seq(seq(numboccur(k, convert(n, base, 10)), k=0..9), n=0..100); # Robert Israel, Jul 08 2016

CROSSREFS

Cf. A100909 (similar but each row of A100910 provides one A100909 term).

Cf. A055642 (row sums), A055642 (column 0), A268643 (column 1), A102683 (column 9).

Cf. A059995, A010879.

Sequence in context: A014856 A015703 A015582 * A014036 A014063 A014954

Adjacent sequences:  A100907 A100908 A100909 * A100911 A100912 A100913

KEYWORD

base,easy,nonn,tabf

AUTHOR

Rick L. Shepherd, Nov 21 2004

STATUS

approved

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Last modified March 27 08:32 EDT 2017. Contains 284146 sequences.