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 A248341 #20 Apr 01 2025 09:08:00 %S A248341 0,3,51,657,7599,83193,882351,9176457,94235199,959646393,9717524751, %T A248341 98022673257,986158712799,9903110989593,99321776927151, %U A248341 995252438490057,9966767069430399,99767369486012793,998371586402089551,9988601104814626857 %N A248341 a(n) = 10^n - 7^n. %H A248341 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (17,-70). %F A248341 G.f.: 3*x/((1-7*x)*(1-10*x)). %F A248341 a(n) = 17*a(n-1) - 70*a(n-2). %F A248341 a(n) = A011557(n) - A000420(n). %F A248341 a(n+1) = 3*A016181(n). %F A248341 E.g.f.: 2*exp(17*x/2)*sinh(3*x/2). - _Elmo R. Oliveira_, Apr 01 2025 %t A248341 Table[10^n - 7^n, {n, 0, 25}] (* or *) CoefficientList[Series[3 x/((1 - 7 x) (1 - 10 x)), {x, 0, 30}], x] %t A248341 LinearRecurrence[{17,-70},{0,3},20] (* _Harvey P. Dale_, Dec 18 2020 *) %o A248341 (Magma) [10^n-7^n: n in [0..30]]; %Y A248341 Cf. sequences of the form k^n-7^n: A016177 (k=8), A191467 (k=9), this sequence(k=10), A139745 (k=11). %Y A248341 Cf. A000420, A011557, A016181. %K A248341 nonn,easy %O A248341 0,2 %A A248341 _Vincenzo Librandi_, Oct 05 2014