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Search: id:A113558
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| A113558 |
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Least multiple of n in which the n-th digit from left is 3. |
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+0
7
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| 3, 130, 123, 10032, 100030, 1000032, 1000013, 100000032, 100000053, 10000000030, 10000000043, 1000000000032, 1000000000103, 100000000000138, 1000000000000035, 10000000000000032, 10000000000000033, 1000000000000000134
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(4)= 10032, in which the fourth digit is 3.
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PROGRAM
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(PARI) dig(n, digno, base) = { local(nshif) ; nshif=n ; for(shifr=0, digno-1, nshif = floor(nshif/base) ; ) ; nshif % base ; } ndig(n, base) = { local(nshif, resul) ; nshif=n ; resul=1 ; while(nshif>0, nshif = floor(nshif/base) ; if( nshif>0, resul++, break) ; ) ; return(resul) ; } { for (n = 1, 23, anmin=10^(n-1) ; if ( ( n % 2 == 0 ) || (n %5 == 0), anmin *= 10) ; if ( ( n % 20 == 0 ) || (n %50 == 0), anmin *= 10) ; for( nex = anmin, anmin+10000000000000000000000, if ( ( nex % n) != 0, next ; ) ; nexd=ndig(nex, 10) ; if( dig(nex, nexd-n, 10)==3, print(nex, ", ") ; break ; ) ; ); ) } - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 15 2006
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CROSSREFS
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Cf. A113556, A113557.
Sequence in context: A123047 A097420 A037119 this_sequence A003370 A139943 A005175
Adjacent sequences: A113555 A113556 A113557 this_sequence A113559 A113560 A113561
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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 06 2005
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 15 2006
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