cp's OEIS Frontend

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.

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.

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%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