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A322053 Number of decimal strings of length n that contain a specific string xx (where x is a single digit). 2
0, 1, 19, 280, 3691, 45739, 544870, 6315481, 71743159, 802527760, 8868438271, 97038694279, 1053164192950, 11351825985061, 121644911602099, 1296970638284440, 13767539948978851, 145580595285369619, 1534133217109136230, 16117424311550552641 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

See A322054 for the number that do not contain the specified string.

LINKS

Table of n, a(n) for n=1..20.

FORMULA

G.f. = x^2/((1-10*x)*(1-9*x-9*x^2)).

EXAMPLE

Suppose the desired string is 00. At length 2 that is the only possibility. At length 3 there are 19 strings that contain it: 000, 00d, and d00, where d is any nonzero digit.

CROSSREFS

Cf. A322052, A004189, A322054.

Suggested by A322628.

Sequence in context: A016184 A197742 A322628 * A081045 A155017 A199245

Adjacent sequences:  A322050 A322051 A322052 * A322054 A322055 A322056

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane, Dec 21 2018

STATUS

approved

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Last modified July 22 16:34 EDT 2019. Contains 325224 sequences. (Running on oeis4.)