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 A214582 #13 Mar 06 2013 13:07:46
%S A214582 1,1,1,2,3,1,3,4,5,1,5,7,10,7,1,8,11,15,20,9,1,13,18,25,35,34,11,1,21,
%T A214582 29,40,55,75,52,13,1,34,47,65,90,125,143,74,15,1,55,76,105,145,200,
%U A214582 275,247,100,17,1
%N A214582 Riordan array (1/(1-x-x^2), x*(1+2*x)).
%C A214582 First column is A000045 (Fibonacci numbers) starting with 1.
%C A214582 Second column is A000032 (Lucas numbers) starting with 1.
%F A214582 T(n,0) = T(n-1,0) + T(n-2,0), T(n,k) = T(n-1,k-1) + 2*T(n-2,k-1) for k>0.
%F A214582 Sum_{k, 0<=k<=n} T(n,k) = A094687(n+2).
%F A214582 T(2n,n) = A081567(n).
%e A214582 Triangle begins
%e A214582 1
%e A214582 1, 1
%e A214582 2, 3, 1
%e A214582 3, 4, 5, 1
%e A214582 5, 7, 10, 7, 1
%e A214582 8, 11, 15, 20, 9, 1
%e A214582 13, 18, 25, 35, 34, 11, 1
%e A214582 21, 29, 40, 55, 75, 52, 13, 1
%e A214582 34, 47, 65, 90, 125, 143, 74, 15, 1
%e A214582 55, 76, 105, 145, 200, 275, 247, 100, 17, 1
%e A214582 ...
%e A214582 Production array begins
%e A214582 1, 1
%e A214582 1, 2, 1
%e A214582 -2, -4, 2, 1
%e A214582 8, 16, -4, 2, 1
%e A214582 -40, -80, 16, -4, 2, 1
%e A214582 224, 448, -80, 16, -4, 2, 1
%e A214582 -1344, -2688, 448, -80, 16, -4, 2, 1
%e A214582 8448, 16896, -2688, 448, -80, 16, -4, 2, 1
%e A214582 ... which is based on A052701.
%Y A214582 Cf. A000032, A000045, A002522, A005408, A104726, A123265
%K A214582 nonn,tabl
%O A214582 0,4
%A A214582 _Philippe Deléham_, Mar 06 2013