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a(1) = 2; for n>1, a(n) = smallest multiple of n beginning with the least significant digit of a(n-1) > n and not divisible by 10 if n is not of the type 10k; otherwise a(n) ends in 0 and a(n+1) begins with the first nonzero digit from the right(LSD) of a(n).
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%I #2 Dec 05 2013 19:55:59

%S 2,22,24,44,45,54,49,96,63,30,33,36,65,56,615,512,221,108,817,700,714,

%T 44,46,624,425,52,216

%N a(1) = 2; for n>1, a(n) = smallest multiple of n beginning with the least significant digit of a(n-1) > n and not divisible by 10 if n is not of the type 10k; otherwise a(n) ends in 0 and a(n+1) begins with the first nonzero digit from the right(LSD) of a(n).

%e a(9) = 63, a(10) = 30 and a(11) = 33 ( begins with 3); a(20) = 700 and a(21) = 714.

%K base,easy,nonn

%O 0,1

%A _Amarnath Murthy_, Feb 20 2003