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 A235804 #7 Jan 20 2014 15:50:45 %S A235804 1,2,2,3,4,3,4,7,6,4,5,12,11,8,5,6,21,20,15,10,6,7,38,37,28,19,12,7,8, %T A235804 71,70,53,36,23,14,8,9,136,135,102,69,44,27,16,9,10,265,264,199,134, %U A235804 85,52,31,18,10,11,522,521,392,263,166,101,60,35,20,11 %N A235804 Rectangular array read by upward antidiagonals: A(n,k) = n-2+k*2^(n-3), n>=3, k>=0. %C A235804 Row index n begins with 3, column index k begins with 0. %C A235804 Conjectured equivalence classes associated with the row entries of A233332. %F A235804 Conjecture: G.f. for row n is F_n(x) = ((n-2)+(2^(n-3)-(n-2))*x)/(1-x)^2 = ((n-2)+(2^(n-3)-(n-3)-1)*x)/(1-x)^2 = ((n-2)+A000295(n-3)*x)/(1-x)^2, n>=3. %F A235804 Conjecture: G.f. for column k is G_k(x) = (k+1-2*(k+1)*x+k*x^2)/((1-2*x)*(1-x)^2), k>=0. %e A235804 Array begins: %e A235804 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ... %e A235804 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ... %e A235804 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, ... %e A235804 4, 12, 20, 28, 36, 44, 52, 60, 68, 76, ... %e A235804 5, 21, 37, 53, 69, 85, 101, 117, 133, 149, ... %e A235804 6, 38, 70, 102, 134, 166, 198, 230, 262, 294, ... %e A235804 7, 71, 135, 199, 263, 327, 391, 455, 519, 583, ... %e A235804 8, 136, 264, 392, 520, 648, 776, 904, 1032, 1160, ... %e A235804 9, 265, 521, 777, 1033, 1289, 1545, 1801, 2057, 2313, ... %e A235804 10, 522, 1034, 1546, 2058, 2570, 3082, 3594, 4106, 4618, ... %Y A235804 Cf. A000295, A132925 (conjectured antidiagonal sums), A233332. %K A235804 nonn,tabl %O A235804 3,2 %A A235804 _L. Edson Jeffery_, Jan 16 2014