A113558 Least multiple of n in which the n-th digit from left is 3.

3, 130, 123, 10032, 100030, 1000032, 1000013, 100000032, 100000053, 10000000030, 10000000043, 1000000000032, 1000000000103, 100000000000138, 1000000000000035, 10000000000000032, 10000000000000033, 1000000000000000134

Offset

1,1

Links

Table of n, a(n) for n=1..18.

Example

a(4)= 10032, in which the fourth digit is 3.

Prog

(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, Mar 15 2006

Crossrefs

Cf. A113556, A113557.

Sequence in context: A123047 A097420 A037119 * A003370 A156957 A202030

Adjacent sequences: A113555 A113556 A113557 * A113559 A113560 A113561

Keyword

base,easy,nonn

Author

Amarnath Murthy, Nov 06 2005

Extensions

More terms from R. J. Mathar, Mar 15 2006

Status

approved