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Search: id:A109847
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| A109847 |
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Least common multiple of n and its 9's complement. |
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+0
2
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| 8, 14, 6, 20, 20, 6, 14, 8, 0, 890, 88, 348, 1118, 1190, 420, 1328, 1394, 162, 1520, 1580, 546, 154, 1748, 600, 1850, 1898, 216, 1988, 2030, 690, 2108, 2144, 66, 2210, 2240, 252, 2294, 2318, 780, 2360, 2378, 798, 2408, 220, 270, 2438, 2444, 816, 2450, 2450
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(2)=14 because 7=9-2 and lcm(2,7)=14
a(9)=lcm(0,9)=0. a(10)=lcm(89,10)=890.
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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: nin := proc(inp::integer) RETURN(10^digs(inp)-1-inp) : end : for n from 1 to 40 do comp := nin(n) ; #print(n, comp, lcm(n, comp)) ; printf("%d, ", lcm(n, comp)) ; od : - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 27 2006
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CROSSREFS
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Cf. A109848, A084021.
Sequence in context: A043901 A081966 A107764 this_sequence A122459 A092537 A082772
Adjacent sequences: A109844 A109845 A109846 this_sequence A109848 A109849 A109850
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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), Jul 06 2005
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EXTENSIONS
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Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 27 2006
More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 03 2006
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