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Search: id:A078194
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| A078194 |
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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 triangle by rows. |
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+0
3
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| 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
(list; graph; listen)
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OFFSET
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1,2
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MAPLE
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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 (mathar(AT)strw.leidenuniv.nl), Apr 01 2007
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CROSSREFS
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Cf. A078193, A078195.
Sequence in context: A124705 A126366 A009760 this_sequence A034510 A083101 A133294
Adjacent sequences: A078191 A078192 A078193 this_sequence A078195 A078196 A078197
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KEYWORD
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base,easy,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 21 2002
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 01 2007
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