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A322052 Number of decimal strings of length n that contain a specific string xy where x and y are distinct digits. 3
0, 1, 20, 299, 3970, 49401, 590040, 6850999, 77919950, 872348501, 9645565060, 105583302099, 1146187455930, 12356291257201, 132416725116080, 1411810959903599, 14985692873919910, 158445117779295501, 1669465484919035100, 17536209731411055499, 183692631829191519890, 1919390108560504143401 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

See A004189 for the number that do not contain the specified string.

LINKS

Table of n, a(n) for n=1..22.

FORMULA

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

EXAMPLE

Suppose the desired string is 03. At length 2 that is the only possibility. At length 3 there are 20 strings that contain it: 03d and d03, where d is any digit.

CROSSREFS

Cf. A004189, A322053, A322054.

Suggested by A322628.

Sequence in context: A069326 A001708 A016255 * A250014 A291256 A250015

Adjacent sequences:  A322049 A322050 A322051 * A322053 A322054 A322055

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane, Dec 21 2018

STATUS

approved

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Last modified October 15 00:01 EDT 2019. Contains 328025 sequences. (Running on oeis4.)