A078195 - OEIS

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.

%I #10 Feb 13 2021 21:29:08

%S 1,46,1368,19380,172815,2850726,37418526,454097638,4765432105,

%T 12345678900,512345678896,5923681144786,63692581470363,

%U 739280583613920,5739962954073990,83052749708305266,874185296307418521

%N 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.

%p 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

%Y Cf. A078193, A078194.

%K base,easy,nonn

%O 1,2

%A _Amarnath Murthy_, Nov 21 2002

%E More terms from _R. J. Mathar_, Apr 01 2007