Least Lucas number that begins with the same digits as n.
1, 2, 3, 4, 521, 64079, 7, 843, 9349, 103682, 11, 123, 1364, 141422324, 15127, 167761, 17393796001, 18, 199, 20633239, 2139295485799, 2207, 23725150497407, 24476, 2537720636, 263115950957276, 271443, 28143753123, 29, 3010349, 312119004989, 322, 33385282
1
The Lucas numbers begin 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521,….
T. D. Noe, Plot of 1000 terms
T. D. Noe, Table of 1000 terms
Eric W. Weisstein, MathWorld: Lucas Number
(Mma) nn = 100; t = tn = Table[0, {nn}]; found = 0; n = -1; While[found < nn, n++; f = LucasL[n]; d = IntegerDigits[f]; i = 1; While[i <= Length[d], k = FromDigits[Take[d, i]]; If[k > nn, Break[]]; If[t[[k]] == 0, t[[k]] = f; tn[[k]] = n; found++]; i++]]; t
Cf. A000032, A020345, S000975.
nonn,base
T. D. Noe, Feb 28 2017