A078194 In the following triangle the n-th row contains n n-digit (or (n-1)-digit) numbers whose concatenation (with a 0 prefixed for (n-1)-digit numbers) gives a substring of the cyclic concatenation of 1,2,3,4,5,6,7,8,9,0,1,2,3,4,5,6,7,8,9,0,1,2,...: 1; 12 34; 123 456 789; 1234 5678 9012 3456; 12345 67890 12345 67890 12345; ... Sequence contains the triangle by rows.

1, 12, 34, 123, 456, 789, 1234, 5678, 9012, 3456, 12345, 67890, 12345, 67890, 12345, 123456, 789012, 345678, 901234, 567890, 123456, 1234567, 8901234, 5678901, 2345678, 9012345, 6789012, 3456789, 12345678, 90123456, 78901234, 56789012

Offset

1,2

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Maple

A078194 := proc(n, m) local istrt, iend, resul ; istrt := ( 1+m*n ) mod 10 ; iend := istrt+n-1 ; resul := istrt ; for i from istrt+1 to iend do resul := 10*resul+ (i mod 10) ; od ; RETURN(resul) ; end: for n from 1 to 10 do for m from 0 to n-1 do printf("%d, ", A078194(n, m)) ; od ; od ; # R. J. Mathar, Apr 01 2007

Mathematica

Table[FromDigits/@Partition[PadRight[{}, n^2, Join[Range[9], {0}]], n], {n, 10}]//Flatten (* Harvey P. Dale, Apr 25 2020 *)

Crossrefs

Cf. A078193, A078195.

Sequence in context: A126366 A199114 A009760 * A034510 A083101 A133294

Adjacent sequences: A078191 A078192 A078193 * A078195 A078196 A078197

Keyword

base,easy,nonn

Author

Amarnath Murthy, Nov 21 2002

Extensions

More terms from R. J. Mathar, Apr 01 2007

Status

approved