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A110397
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a(n) = (10^k - n)(10^k + n), where k is the number of digits in n.
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1
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99, 96, 91, 84, 75, 64, 51, 36, 19, 9900, 9879, 9856, 9831, 9804, 9775, 9744, 9711, 9676, 9639, 9600, 9559, 9516, 9471, 9424, 9375, 9324, 9271, 9216, 9159, 9100, 9039, 8976, 8911, 8844, 8775, 8704, 8631, 8556, 8479, 8400, 8319, 8236, 8151, 8064, 7975
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OFFSET
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1,1
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LINKS
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EXAMPLE
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a(3)=(10-3)(10+3)=91; a(11)=(100+11)(100-11)=111*89=9879.
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MAPLE
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s:=proc(m) nops(convert(m, base, 10)) end: a:=n->(10^(s(n))-n)*(10^(s(n))+n): seq(a(n), n=1..55); # s gives number of digits # Emeric Deutsch, Aug 01 2005
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MATHEMATICA
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Table[Times@@(10^IntegerLength[n]+{n, -n}), {n, 50}] (* Harvey P. Dale, May 31 2015 *)
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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