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 A016763 #25 Sep 08 2022 08:44:41 %S A016763 1,177147,48828125,1977326743,31381059609,285311670611,1792160394037, %T A016763 8649755859375,34271896307633,116490258898219,350277500542221, %U A016763 952809757913927,2384185791015625,5559060566555523,12200509765705829,25408476896404831,50542106513726817,96549157373046875 %N A016763 a(n) = (2*n+1)^11. %H A016763 Vincenzo Librandi, <a href="/A016763/b016763.txt">Table of n, a(n) for n = 0..10000</a> %H A016763 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1). %F A016763 G.f.: (1+x)*(x^10 +177134*x^9 +46525293*x^8 +1356555432*x^7 +9480267666*x^6 +19107752148*x^5 +9480267666*x^4 +1356555432*x^3 +46525293*x^2+ 177134*x +1)/(x-1)^12 . - _R. J. Mathar_, Jul 07 2017 %F A016763 From _Amiram Eldar_, Oct 11 2020: (Start) %F A016763 Sum_{n>=0} 1/a(n) = 2047*zeta(11)/2048. %F A016763 Sum_{n>=0} (-1)^n/a(n) = 50521*Pi^11/14863564800. (End) %t A016763 Table[(2*n+1)^11, {n,0,20}] (* _G. C. Greubel_, Sep 15 2018 *) %t A016763 LinearRecurrence[{12,-66,220,-495,792,-924,792,-495,220,-66,12,-1},{1,177147,48828125,1977326743,31381059609,285311670611,1792160394037,8649755859375,34271896307633,116490258898219,350277500542221,952809757913927},20] (* _Harvey P. Dale_, Nov 15 2020 *) %o A016763 (Magma) [(2*n+1)^11: n in [0..20]]; // _Vincenzo Librandi_, Sep 07 2011 %o A016763 (Maxima) A016763(n):=(2*n+1)^11$ %o A016763 makelist(A016763(n),n,0,20); /* _Martin Ettl_, Nov 12 2012 */ %o A016763 (PARI) vector(20, n, n--; (2*n+1)^11) \\ _G. C. Greubel_, Sep 15 2018 %Y A016763 Cf. A016751. %K A016763 nonn,easy %O A016763 0,2 %A A016763 _N. J. A. Sloane_