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Search: id:A077306
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| A077306 |
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Smallest multiple of n formed by the concatenation of n successive numbers, or 0 if no such number exists. |
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+0
5
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| 1, 12, 123, 3456, 12345, 123456, 3456789, 56789101112, 123456789, 12345678910, 910111213141516171819, 123456789101112, 45678910111213141516, 7891011121314151617181920, 123456789101112131415, 567891011121314151617181920
(list; graph; listen)
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OFFSET
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1,2
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MAPLE
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digs := proc(inp::integer) local resul, shiftinp : resul := 1 : shiftinp := iquo(inp, 10) : while shiftinp > 0 do resul := resul+1 : shiftinp := iquo(shiftinp, 10) : od : RETURN(resul) : end: # provide number of concatenation of frst up to lst newnum := proc(frst::integer, lst::integer) local resul, i : resul:= frst : for i from frst+1 to lst do resul := resul*10^digs(i)+i : od : RETURN(resul) ; end : n := 1 : while n < 20 do nold := n : newfeedstrt := 1 : newfeedend := newfeedstrt + n-1 : while nold = n do trythis := newnum(newfeedstrt, newfeedend) : if ( trythis mod n ) = 0 then printf("%a, ", trythis) ; n := n+ 1: break : fi : newfeedstrt := newfeedstrt + 1 : newfeedend := newfeedstrt + n-1 : od : od : - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 13 2006
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CROSSREFS
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Cf. A077307, A077308.
Sequence in context: A134802 A141266 A083429 this_sequence A117640 A074158 A071269
Adjacent sequences: A077303 A077304 A077305 this_sequence A077307 A077308 A077309
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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 03 2002
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 13 2006
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