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 A017638 #19 Jul 08 2025 06:14:51 %S A017638 3486784401,16679880978201,1531578985264449,34050628916015625, %T A017638 362033331456891249,2446194060654759801,12157665459056928801, %U A017638 48398230717929318249,162889462677744140625,480682838924478847449 %N A017638 a(n) = (12n+9)^10. %C A017638 From Fermat's little theorem, it follows that all terms are congruent to 1 mod 11 except when n is congruent to 2 mod 11 (because for those n, 12*n+9 is a multiple of 11). - _Alonso del Arte_, Dec 02 2013 %H A017638 <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1). %F A017638 a(n) = (12*n+9)^10. %F A017638 a(n) = A011557(A017629(n)). - _Wesley Ivan Hurt_, Dec 02 2013 %F A017638 a(n) = 11*a(n-1)-55*a(n-2)+165*a(n-3)-330*a(n-4)+462*a(n-5)-462*a(n-6)+330*a(n-7)-165*a(n-8)+55*a(n-9)-11*a(n-10)+a(n-11). - _Wesley Ivan Hurt_, Nov 25 2021 %p A017638 A017638:=n->(12*n+9)^10; seq(A017638(n), n=0..20); # _Wesley Ivan Hurt_, Dec 02 2013 %t A017638 Table[(12n + 9)^10, {n, 0, 20}] (* _Wesley Ivan Hurt_, Dec 02 2013 *) %o A017638 (Magma) [(12*n+9)^10 : n in [0..20]]; // _Wesley Ivan Hurt_, Nov 25 2021 %Y A017638 Cf. A011557, A017629. %K A017638 nonn,easy %O A017638 0,1 %A A017638 _N. J. A. Sloane_