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 A099675 #19 Apr 03 2025 02:57:31
%S A099675 8,96,984,9872,98760,987648,9876536,98765424,987654312,9876543200,
%T A099675 98765432088,987654320976,9876543209864,98765432098752,
%U A099675 987654320987640,9876543209876528,98765432098765416,987654320987654304,9876543209876543192,98765432098765432080,987654320987654320968
%N A099675 Partial sums of repdigits of A002282.
%H A099675 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (12,-21,10).
%F A099675 a(n) = (8/81)*(10^(n+1) - 9*n - 10). - R. Piyo (nagoya314(AT)yahoo.com), Dec 10 2004
%F A099675 a(n) = 12*a(n-1) - 21*a(n-2) + 10*a(n-3). - _Wesley Ivan Hurt_, Jan 20 2024
%F A099675 From _Elmo R. Oliveira_, Apr 02 2025: (Start)
%F A099675 G.f.: 8*x/((1 - x)^2*(1 - 10*x)).
%F A099675 E.g.f.: 8*exp(x)*(10*exp(9*x) - 9*x - 10)/81.
%F A099675 a(n) = 8*A014824(n). (End)
%e A099675 8 + 88 + 888 + 8888 + 88888 = a(5) = 98760.
%t A099675 <<NumberTheory`NumberTheoryFunctions` Table[{k, Table[Apply[Plus, Table[k*(10^n-1)/9, {n, 1, m}]], {m, 1, 35}]}, {k, 1, 9}]
%t A099675 Table[8/9*Sum[10^i - 1, {i, n}], {n, 18}] (* _Robert G. Wilson v_, Nov 20 2004 *)
%Y A099675 Cf. A002275-A002283, A014824, A057932, A099669-A099675.
%K A099675 base,nonn,easy
%O A099675 1,1
%A A099675 _Labos Elemer_, Nov 17 2004
%E A099675 More terms from _Elmo R. Oliveira_, Apr 02 2025