The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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 * A328916 A081045 A155017 Adjacent sequences: A322050 A322051 A322052 * A322054 A322055 A322056 KEYWORD nonn,base AUTHOR N. J. A. Sloane, Dec 21 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified March 22 04:35 EDT 2023. Contains 361413 sequences. (Running on oeis4.)