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 A235803 #10 Jan 20 2014 15:46:12 %S A235803 1,1,1,1,2,1,1,3,3,1,1,5,5,4,1,1,9,11,7,5,1,1,17,25,19,9,6,1,1,33,59, %T A235803 49,29,11,7,1,1,65,141,133,81,41,13,8,1,1,129,339,361,245,121,55,15,9, %U A235803 1,1,257,817,985,729,401,169,71,17,10,1 %N A235803 Rectangular array read by upward antidiagonals: A(n,k) = 1 + sqrt(k)*((1+sqrt(k))^n - (1-sqrt(k))^n)/2, n,k >= 0. %F A235803 A(0,k) = 1, A(n,k) = 1 + k*(sum_{j=0..floor((n-1)/2)} A034867(n,j)*k^j), n>0. %e A235803 Array begins: %e A235803 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ... %e A235803 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ... %e A235803 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, ... %e A235803 1, 5, 11, 19, 29, 41, 55, 71, 89, 109, ... %e A235803 1, 9, 25, 49, 81, 121, 169, 225, 289, 361, ... %e A235803 1, 17, 59, 133, 245, 401, 607, 869, 1193, 1585, ... %e A235803 1, 33, 141, 361, 729, 1281, 2053, 3081, 4401, 6049, ... %e A235803 1, 65, 339, 985, 2189, 4161, 7135, 11369, 17145, 24769, ... %e A235803 1, 129, 817, 2689, 6561, 13441, 24529, 41217, 65089, 97921, ... %e A235803 1, 257, 1971, 7345, 19685, 43521, 84727, 150641, 250185, 393985, ... %e A235803 As a triangle: %e A235803 1; %e A235803 1, 1; %e A235803 1, 2, 1; %e A235803 1, 3, 3, 1; %e A235803 1, 5, 5, 4, 1; %e A235803 1, 9, 11, 7, 5, 1; %e A235803 1, 17, 25, 19, 9, 6, 1; %e A235803 1, 33, 59, 49, 29, 11, 7, 1; ... %Y A235803 Cf. A094373 (column k=1) %K A235803 nonn,tabl %O A235803 0,5 %A A235803 _L. Edson Jeffery_, Jan 15 2014