A109847 Least common multiple of n and its 9's complement.

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

Offset: 1

Author

Amarnath Murthy, Jul 06 2005

Keywords

• base
• easy
• nonn

Examples

			a(2)=14 because 7=9-2 and lcm(2,7)=14
a(9)=lcm(0,9)=0. a(10)=lcm(89,10)=890.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..9999

Crossrefs

Cf. A109848, A084021.

Programs

Maple

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, Mar 27 2006
# second Maple program:
a:= n-> ilcm((10^length(n)-1-n), n):
seq(a(n), n=1..100);  # Alois P. Heinz, Sep 22 2015

Mathematica

Array[LCM[#,10^IntegerLength[#]-1-#]&,50] (* Harvey P. Dale, Apr 17 2012 *)

Extensions

Corrected and extended by R. J. Mathar, Mar 27 2006

More terms from Joshua Zucker, May 03 2006