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 A034111 #22 Apr 29 2022 18:13:38 %S A034111 21,31,43,57,73,91,111,133,157,183,211,241,273,307,343,381,421,463, %T A034111 507,553,601,651,703,757,813,871,931,993,1057,1123,1191,1261,1333, %U A034111 1407,1483,1561,1641,1723,1807,1893,1981,2071,2163,2257,2353,2451,2551,2653 %N A034111 Fractional part of square root of a(n) starts with 5: first term of runs. %C A034111 Agrees with sequence A002061 (n^2-n+1 = central polygonal numbers) starting with sixth term. %H A034111 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1). %F A034111 a(n) = n^2 + 7*n + 13. - _Charles R Greathouse IV_, Aug 10 2010 %t A034111 Array[#^2 + 7 # + 13 &, 48] (* _Michael De Vlieger_, Aug 05 2020 *) %t A034111 LinearRecurrence[{3,-3,1},{21,31,43},50] (* _Harvey P. Dale_, Apr 29 2022 *) %o A034111 (PARI) a(n)=n^2+7*n+13 \\ _Charles R Greathouse IV_, Jun 17 2017 %Y A034111 Cf. A034101. %K A034111 nonn,base,easy %O A034111 1,1 %A A034111 _Patrick De Geest_, Sep 15 1998 %E A034111 Offset 1 from _Alois P. Heinz_, Aug 05 2020