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 A113763 #17 Feb 16 2025 08:32:59
%S A113763 1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,27,28,
%T A113763 29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,53,
%U A113763 54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77
%N A113763 Non-multiples of 13, or numbers not divisible by 13.
%C A113763 Cf. A011760 (Elevator buttons in U.S.A).
%C A113763 Cf. A023806 (all digits in base 12 are different).
%C A113763 Complement of A008595. - _Reinhard Zumkeller_, Apr 26 2011
%H A113763 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Triskaidekaphobia.html">Triskaidekaphobia</a>
%H A113763 <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,0,0,0,0,1,-1).
%F A113763 a(n) = n+floor((2n-1)/24) = n+quotient(2n-1, 24)
%t A113763 Table[n+Quotient[2n-1, 24], {n, 1, 85}];(* or *)Table[n+Floor[(2n-1)/24], {n, 1, 85}]
%o A113763 (Sage) [i for i in range(80) if not i%13] # _Zerinvary Lajos_, Apr 21 2009
%o A113763 (PARI) a(n)=(26*n-1)\24 \\ _Charles R Greathouse IV_, Jun 08 2015
%Y A113763 Cf. A011760, A023806.
%K A113763 nonn,easy
%O A113763 1,2
%A A113763 _Zak Seidov_, Jan 18 2006