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 A081107 #24 Mar 05 2023 03:08:11
%S A081107 1,8,63,490,3773,28812,218491,1647086,12353145,92236816,686011319,
%T A081107 5084554482,37569208117,276825744020,2034669218547,14920907602678,
%U A081107 109193914728689,797590333670424,5815762849680175,42338753545671674,307770170005074861,2234183456333136028
%N A081107 7th binomial transform of (1,1,0,0,0,0,...).
%C A081107 Main diagonal of array defined by m(0,j) = j; m(i,0) = i and m(i,j) = m(i-1,j) + 6*m(i-1,j-1). - _Benoit Cloitre_, Jun 13 2003
%H A081107 Vincenzo Librandi, <a href="/A081107/b081107.txt">Table of n, a(n) for n = 0..300</a>
%H A081107 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (14,-49).
%F A081107 a(n) = 14*a(n-1) - 49*a(n-2) with n > 1, a(0) = 1, a(1) = 8.
%F A081107 a(n) = (n + 7)*7^(n-1).
%F A081107 G.f.: (1 - 6*x)/(1 - 7*x)^2.
%F A081107 E.g.f.: exp(7*x)*(1 + x). - _Stefano Spezia_, Mar 05 2023
%t A081107 CoefficientList[Series[(1 - 6 x)/(1 - 7 x)^2, {x, 0, 30}], x] (* _Vincenzo Librandi_, Aug 06 2013 *)
%o A081107 (Magma) [(n+7)*7^(n-1): n in [0..25]]; // _Vincenzo Librandi_, Aug 06 2013
%Y A081107 Cf. A081106, A081108, A006234.
%K A081107 nonn,easy
%O A081107 0,2
%A A081107 _Paul Barry_, Mar 07 2003