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 A113592 #8 Apr 20 2013 05:19:56 %S A113592 1,1,1,1,2,3,1,3,6,11,1,4,11,40,127,1,5,18,127,1612,16151,1,6,27,332, %T A113592 16151,2598264,260855055,1,7,38,739,110260 %N A113592 Array of quadratic pseudofibonacci sequences, read by antidiagonals. %C A113592 Row 1 is A113848. Column 1 is A000012 (the simplest sequence of positive numbers: the all 1's sequence). Column 2 is A000027 (the natural numbers) = n. Column 3 is A010000 = A059100(n+1) = n^2 + 2. Column 4 is 2*n + (n^2 + 2)^2 = n^4 + 4*n^2 + 2*n + 4. Column 5 is 2*(n^2 + 2) + (n^4 + 4*n^2 + 2*n + 4)^2 = n^8 + 8*n^6 + 4*n^5 + 24*n^4 + 16*n^3 + 38*n^2 + 16*n + 20. %F A113592 Antidiagonals of table: T(i, j) = j-th iteration of a(i, 0) = 1, a(i, 1) = i and for j>1: a(i, j) = 2*a(i, j-2) + a(i, j-1)^2. %e A113592 Table (upper left corner): %e A113592 1...1...3...11...127....16151...260855055... %e A113592 1...2...6...40...1612...2598624.675284696600... %e A113592 1...3...11..127..16151..260855055... %e A113592 1...4...18..332..110260.12157268264... %e A113592 1...5...27..739..546175... %e A113592 1...6...38..1456.2120012... %e A113592 1...7...51..2615.6838327... %e A113592 1...8...66..4372.19114516... %e A113592 1...9...83..6907.47706815 %e A113592 1..10..102..10424.108659980... %Y A113592 Cf. A000012, A000027, A000278, A000283, A010000, A014253, A059100, A063827, A072878, A112957, A112958, A112959, A112960, A112961, A112969, A113785. %K A113592 easy,nonn,tabl %O A113592 1,5 %A A113592 _Jonathan Vos Post_, Jan 26 2006