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 A218738 #21 Mar 29 2023 09:02:31
%S A218738 0,1,36,1261,44136,1544761,54066636,1892332261,66231629136,
%T A218738 2318107019761,81133745691636,2839681099207261,99388838472254136,
%U A218738 3478609346528894761,121751327128511316636,4261296449497896082261,149145375732426362879136,5220088150634922700769761
%N A218738 a(n) = (35^n - 1)/34.
%C A218738 Partial sums of powers of 35 (A009979).
%H A218738 Vincenzo Librandi, <a href="/A218738/b218738.txt">Table of n, a(n) for n = 0..600</a>
%H A218738 <a href="/index/Par#partial">Index entries related to partial sums</a>.
%H A218738 <a href="/index/Q#q-numbers">Index entries related to q-numbers</a>.
%H A218738 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (36,-35).
%F A218738 From _Vincenzo Librandi_, Nov 07 2012: (Start)
%F A218738 G.f.: x/((1 - x)*(1 - 35*x)).
%F A218738 a(n) = 36*a(n-1) - 35*a(n-2).
%F A218738 a(n) = floor(35^n/34). (End)
%F A218738 E.g.f.: exp(x)*(exp(34*x) - 1)/34. - _Stefano Spezia_, Mar 28 2023
%t A218738 LinearRecurrence[{36, -35}, {0, 1}, 30] (* _Vincenzo Librandi_, Nov 07 2012 *)
%o A218738 (PARI) A218738(n)=35^n\34
%o A218738 (Magma) [n le 2 select n-1 else 36*Self(n-1)-35*Self(n-2): n in [1..20]]; // _Vincenzo Librandi_, Nov 07 2012
%o A218738 (Maxima) A218738(n):=(35^n-1)/34$
%o A218738 makelist(A218738(n),n,0,30); /* _Martin Ettl_, Nov 07 2012 */
%Y A218738 Cf. similar sequences of the form (k^n-1)/(k-1): A000225, A003462, A002450, A003463, A003464, A023000, A023001, A002452, A002275, A016123, A016125, A091030, A135519, A135518, A131865, A091045, A218721, A218722, A064108, A218724-A218734, A132469, A218736-A218753, A133853, A094028, A218723.
%Y A218738 Cf. A009979.
%K A218738 nonn,easy
%O A218738 0,3
%A A218738 _M. F. Hasler_, Nov 04 2012