A078195 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 sum of the terms of a row.

1, 46, 1368, 19380, 172815, 2850726, 37418526, 454097638, 4765432105, 12345678900, 512345678896, 5923681144786, 63692581470363, 739280583613920, 5739962954073990, 83052749708305266, 874185296307418521

Offset

1,2

Links

Table of n, a(n) for n=1..17.

Maple

A078194 := proc(n, m) local istrt, iend, resul, i ; 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: A078195 := proc(n) local m ; add( A078194(n, m), m=0..n-1) ; end: for n from 1 to 25 do printf("%d, ", A078195(n)) ; od ; # R. J. Mathar, Apr 01 2007

Crossrefs

Cf. A078193, A078194.

Sequence in context: A286788 A028574 A302767 * A103725 A332858 A264505

Adjacent sequences: A078192 A078193 A078194 * A078196 A078197 A078198

Keyword

base,easy,nonn

Author

Amarnath Murthy, Nov 21 2002

Extensions

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

Status

approved