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Smallest multiple of n obtained by inserting digits between every pair of digits of n. If n is a k-digit number then there are (k-1) places where digit insertion takes place and a(n) contains at least 2k-1 digits.
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%I #4 Dec 05 2013 19:55:59

%S 1,2,3,4,5,6,7,8,9,100,121,132,143,154,105,176,187,108,1159,200,231,

%T 242,253,264,225,286,297,2128,2059,300,341,352,363,374,315,396,3367,

%U 3078,3159,400,451,462,473,484,405,4186,4277,4128,4459,500,561,572,583,594

%N Smallest multiple of n obtained by inserting digits between every pair of digits of n. If n is a k-digit number then there are (k-1) places where digit insertion takes place and a(n) contains at least 2k-1 digits.

%e a(18) = 108, but a(19) = 1159 requires two digits to be inserted. a(100) = 10000. a(111)= 10101. 10101= 111*91.

%Y Cf. A110734, A110735.

%K base,nonn

%O 1,2

%A _Amarnath Murthy_, Feb 21 2003

%E More terms from _Franklin T. Adams-Watters_, Sep 25 2006