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 A135378 #6 Jun 20 2016 05:14:06 %S A135378 2,5,38,2707,21418388,3000279372337641, %T A135378 255122481276683701099886061668842 %N A135378 Main diagonal of "square and add k" array. %C A135378 Array of recurrence "start with 2, square and add k" begins: %C A135378 k..|.A[k,n]=A[k,n-1]^2 + k %C A135378 -1.|.2..3...8....63.......3968..15745023.247905749270528.............A003096 %C A135378 0..|.2..4..16...256......65536..4294967296.18446744073709551616......A001146 %C A135378 1..|.2..5..26...677.....458330..210066388901.44127887745906175987802.A003095 %C A135378 2..|.2..6..38..1446....2090918.4371938082726...19113842599189892819591078... %C A135378 3..|.2..7..52..2707....7327852.53697414933907..2883412370584178505178284652. %C A135378 4..|.2..8..68..4628...21418388.458747344518548.210449126102819371741916028308. %C A135378 5..|.2..9..86..7401...54774806.3000279372337641.9001676312074749038996905444886. %C A135378 6..|.2.10.106.11242..126382570.1597255405035792810... %C A135378 7..|.2.11.128.16391..268664888.72180822044052551... %C A135378 8..|.2.12.152.23112..534164552.285331768613360712.. %C A135378 9..|.2.13.178.31693.1004446258.1008912285210202573. %C A135378 10.|.2.14.206.42446.1801662926.3245989298922881486. %F A135378 a(n) = A[n,n] where A[k,n] = n-th term of recurrence A[k,0] = 2, A[k,n] = A[k,n-1]^2 + k. %t A135378 A[k_,0] = 2; A[k_,n_] := A[k,n] = A[k, n-1]^2 + k; a[n_] := A[n, n]; a /@ Range[0, 6] (* _Giovanni Resta_, Jun 20 2016 *) %Y A135378 Cf. A001146, A003095, A003096, A062013. %K A135378 easy,nonn %O A135378 0,1 %A A135378 _Jonathan Vos Post_, Dec 09 2007 %E A135378 Corrected and edited by _Giovanni Resta_, Jun 20 2016