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A078195
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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 sub-string 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.
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3
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1, 46, 1368, 19380, 172815, 2850726, 37418526, 454097638, 4765432105, 12345678900, 512345678896, 5923681144786, 63692581470363, 739280583613920, 5739962954073990, 83052749708305266, 874185296307418521
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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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 (mathar(AT)strw.leidenuniv.nl), Apr 01 2007
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CROSSREFS
| Cf. A078193, A078194.
Sequence in context: A188412 A066403 A028574 * A103725 A115608 A162889
Adjacent sequences: A078192 A078193 A078194 * A078196 A078197 A078198
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KEYWORD
| base,easy,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 21 2002
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 01 2007
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