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.
%I A048332 #28 Feb 16 2025 08:32:39 %S A048332 0,1,2,3,4,5,6,8,16,24,32,40,48,57,114,171,228,285,342,400,800,1200, %T A048332 1600,2000,2400,2801,5602,8403,11204,14005,16806,19608,39216,58824, %U A048332 78432,98040,117648,137257,274514,411771,549028,686285,823542,960800 %N A048332 Numbers that are repdigits in base 7. %H A048332 Vincenzo Librandi, <a href="/A048332/b048332.txt">Table of n, a(n) for n = 0..600</a> %H A048332 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Repdigit.html">Repdigit</a>. %H A048332 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,8,0,0,0,0,0,-7). %F A048332 From _Chai Wah Wu_, May 30 2016: (Start) %F A048332 a(n) = 8*a(n-6) - 7*a(n-12) for n > 11. %F A048332 G.f.: x*(6*x^5 + 5*x^4 + 4*x^3 + 3*x^2 + 2*x + 1)/(7*x^12 - 8*x^6 + 1). (End) %F A048332 a(n) = (n - 6*floor((n-1)/6))*(7^floor((n+5)/6) - 1)/6. - _Ilya Gutkovskiy_, May 30 2016 %F A048332 Sum_{n>=1} 1/a(n) = (147/10) * A248724 = 2.80637791743084519957... - _Amiram Eldar_, Jan 21 2022 %t A048332 Union[Flatten[Table[FromDigits[PadRight[{}, n, d], 7], {n, 0, 40}, {d, 6}]]] (* _Vincenzo Librandi_, Feb 06 2014 *) %t A048332 LinearRecurrence[{0,0,0,0,0,8,0,0,0,0,0,-7},{0, 1, 2, 3, 4, 5, 6, 8, 16, 24, 32, 40}, 25] (* _G. C. Greubel_, May 30 2016 *) %o A048332 (Python) %o A048332 A048332_list = [0] + [int(d*l,7) for l in range(1,10) for d in '123456'] # _Chai Wah Wu_, May 30 2016 %Y A048332 Cf. A010785, A033020, A028987, A028988, A248724. %K A048332 nonn,base,easy %O A048332 0,3 %A A048332 _Patrick De Geest_, Feb 15 1999