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 A133679 #29 Jul 24 2024 04:50:44 %S A133679 1,7,98,1078,13034,151606,1791146,21027958,247499882,2910064822, %T A133679 34230447146,402576760054,4734942360554,55688895086902, %U A133679 654979037799338,7703431389461878,90602845842996074,1065612078710837686,12533043918183643946 %N A133679 a(n) = 7*a(n-1) + 56*a(n-2) for n>=3, a(0)=1, a(1)=7, a(2)=98. %H A133679 Harvey P. Dale, <a href="/A133679/b133679.txt">Table of n, a(n) for n = 0..934</a> %H A133679 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (7,58) %F A133679 G.f.: (1 - 7*x^2)/(1 - 7*x - 56*x^2). %F A133679 a(n) = Sum_{k=0..n} A122950(n,k)*7^k. %t A133679 CoefficientList[Series[(1 - 7*x^2)/(1 - 7*x - 56*x^2), {x, 0, 20}], x] (* _Wesley Ivan Hurt_, Jan 21 2017 *) %t A133679 LinearRecurrence[{7,56},{1,7,98},20] (* _Harvey P. Dale_, Dec 27 2019 *) %Y A133679 Cf. A122950. %K A133679 easy,nonn %O A133679 0,2 %A A133679 _Philippe Deléham_, Dec 31 2007 %E A133679 a(8) and a(13) corrected by _Georg Fischer_, May 03 2019