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Search: id:A078193
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| A078193 |
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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 final terms of rows. |
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+0
3
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| 1, 34, 789, 3456, 12345, 123456, 3456789, 78901234, 345678901, 1234567890, 12345678901, 345678901234, 7890123456789, 34567890123456, 123456789012345, 1234567890123456, 34567890123456789, 789012345678901234, 3456789012345678901, 12345678901234567890
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Leading digit is [(n-1)*n+1] mod 10, zero allowed, and therefore one more than the least significant digit in A002378(n-1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 19 2006
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PROGRAM
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(PARI) A078193(n)= { local(a, f) ; a= (n*(n-1)+1) %10 ; f=a ; for(i=1, n-1, a=Str(Str(a) Str((f+i)%10)) ; a=eval(a) ; ) ; return(a) ; } { for(n=1, 20, print1(A078193(n), ", ") ; ) ; } - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 19 2006
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CROSSREFS
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Cf. A078194, A078195.
Sequence in context: A028104 A028023 A025190 this_sequence A063843 A020535 A134500
Adjacent sequences: A078190 A078191 A078192 this_sequence A078194 A078195 A078196
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KEYWORD
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base,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), May 19 2006
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