cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A048330 Numbers that are repdigits in base 5.

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%I A048330 #30 Feb 16 2025 08:32:39
%S A048330 0,1,2,3,4,6,12,18,24,31,62,93,124,156,312,468,624,781,1562,2343,3124,
%T A048330 3906,7812,11718,15624,19531,39062,58593,78124,97656,195312,292968,
%U A048330 390624,488281,976562,1464843,1953124,2441406,4882812,7324218,9765624
%N A048330 Numbers that are repdigits in base 5.
%H A048330 Vincenzo Librandi, <a href="/A048330/b048330.txt">Table of n, a(n) for n = 0..400</a>
%H A048330 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Repdigit.html">Repdigit</a>.
%F A048330 Conjecture: G.f.: x*(1+2*x+3*x^2+4*x^3) / ( (x-1)*(1+x)*(x^2+1)*(5*x^4-1) ) with a(n) = 6*a(n-4) - 5*a(n-8). - _R. J. Mathar_, Mar 15 2015
%F A048330 Sum_{n>=1} 1/a(n) = (25/3) * A248722 = 2.51444877998310381623... - _Amiram Eldar_, Jan 21 2022
%e A048330 12_10 = 22_5, 18_10 = 33_5, 7812_10 = 222222_5.
%t A048330 Union[Flatten[Table[FromDigits[PadRight[{}, n, d], 5], {n, 0, 40}, {d, 4}]]] (* _Vincenzo Librandi_, Feb 06 2014 *)
%o A048330 (Magma) [0] cat [k:k in [1..10^7]| #Set(Intseq(k,5)) eq 1]; // _Marius A. Burtea_, Oct 11 2019
%Y A048330 Cf. A010785, A033018, A028987, A028988, A248722.
%K A048330 nonn,base
%O A048330 0,3
%A A048330 _Patrick De Geest_, Feb 15 1999
%E A048330 Offset changed from 1 to 0 by _Vincenzo Librandi_, Feb 06 2014