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A048331 a(n) in base 6 is a repdigit. 4

%I

%S 0,1,2,3,4,5,7,14,21,28,35,43,86,129,172,215,259,518,777,1036,1295,

%T 1555,3110,4665,6220,7775,9331,18662,27993,37324,46655,55987,111974,

%U 167961,223948,279935,335923,671846,1007769,1343692,1679615,2015539

%N a(n) in base 6 is a repdigit.

%H Vincenzo Librandi, <a href="/A048331/b048331.txt">Table of n, a(n) for n = 0..500</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Repdigit.html">Repdigit</a>

%F Conjecture: G.f.: x*(1+2*x+3*x^2+4*x^3+5*x^4) / ( (x-1)*(x^4+x^3+x^2+x+1)*(6*x^5-1) ) with a(n) = 7*a(n-5) - 6*a(n-10). - _R. J. Mathar_, Mar 15 2015

%e 14_10 = 22_6, 21_10_ = 33_6, 9331_10_ = 111111_6.

%t Union[Flatten[Table[FromDigits[PadRight[{}, n, d], 6], {n, 0, 40}, {d, 5}]]] (* _Vincenzo Librandi_, Feb 06 2014 *)

%o (MAGMA) [0] cat [k:k in [1..2*10^6]| #Set(Intseq(k,6)) eq 1]; // _Marius A. Burtea_, Oct 11 2019

%Y Cf. A010785, A033019, A028987, A028988.

%K nonn,base

%O 0,3

%A _Patrick De Geest_, Feb 15 1999

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Last modified March 2 19:18 EST 2021. Contains 341756 sequences. (Running on oeis4.)