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 A113532 #10 Mar 15 2017 15:42:01
%S A113532 1,28,769,7108,36409,131836,380713,937924,2054353,4110364,7654321,
%T A113532 13446148,22505929,36167548,56137369,84557956,124076833,177920284,
%U A113532 249972193,344857924,468033241,625878268,825796489,1076318788
%N A113532 a(n) = 1 + 2*n + 3*n^2 + 4*n^3 + 5*n^4 + 6*n^5 + 7*n^6.
%C A113532 1 + 2x + 3x^2 + 4x^3 + 5x^4 + 6x^5 + 7*n^6 is the derivative of 1 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 = (x^8 - 1)/(x-1). a(2) = 1 + 2*2 + 3*2^2 + 4*2^3 + 5*2^4 + 6*2^5 + 7*2^6 = 769 is prime. Other primes begin a(6) = 380713, a(12) = 22505929, a(26) = 2236055953, a(38) = 21562615273, a(44) = 51802781449, a(52) = 140712620569.
%H A113532 G. C. Greubel, <a href="/A113532/b113532.txt">Table of n, a(n) for n = 0..1000</a>
%H A113532 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F A113532 a(n) = 1 + 2*n + 3*n^2 + 4*n^3 + 5*n^4 + 6*n^5 + 7*n^6.
%F A113532 O.g.f.: -12636/(-1+x)^4 -4/(-1+x) -21480/(-1+x)^5 -309/(-1+x)^2 -16920/(-1+x)^6 -3342/(-1+x)^3-5040/(-1+x)^7 . - _R. J. Mathar_, Feb 26 2008
%t A113532 Table[1 + 2*n + 3*n^2 + 4*n^3 + 5*n^4 + 6*n^5 + 7*n^6, {n,0,50}] (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {1, 28, 769, 7108, 36409, 131836, 380713}, 50] (* _G. C. Greubel_, Mar 15 2017 *)
%o A113532 (PARI) for(n=0,50, print1(1 + 2*n + 3*n^2 + 4*n^3 + 5*n^4 + 6*n^5 + 7*n^6, ", ")) \\ _G. C. Greubel_, Mar 15 2017
%Y A113532 Cf. A000012, A005408, A056109, A056578, A056579.
%K A113532 easy,nonn
%O A113532 0,2
%A A113532 _Jonathan Vos Post_, Jan 12 2006