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 A199479 #20 Feb 20 2022 04:01:05
%S A199479 1,1,1,1,3,2,1,5,9,5,1,7,20,27,13,1,9,35,73,80,34,1,11,54,151,252,234,
%T A199479 89,1,13,77,269,597,837,677,233,1,15,104,435,1199,2225,2702,1941,610,
%U A199479 1,17,135,657,2158,4956,7943,8533,5523,1597
%N A199479 Triangle T(n,k), read by rows, given by (1,0,0,0,0,0,0,0,0,0,...) DELTA (1,1,1,0,0,0,0,0,0,0,...) where DELTA is the operator defined in A084938.
%C A199479 Mirror image of triangle in A147703.
%F A199479 Sum_{k=0..n} T(n,k)*x^k = A152620(n), A152594(n), A000007(n), A000012(n), A006012(n), A152596(n), A152599(n) for x=-3,-2,-1,0,1,2,3 respectively.
%F A199479 T(n,n) = A001519(n).
%F A199479 G.f.: (1-2y*x)/(1-(1+3y)*x+y*(1+y)*x^2).
%e A199479 Triangle begins:
%e A199479 1;
%e A199479 1, 1;
%e A199479 1, 3, 2;
%e A199479 1, 5, 9, 5;
%e A199479 1, 7, 20, 27, 13;
%e A199479 1, 9, 35, 73, 80, 34;
%Y A199479 Cf. A001519, A059502, A000012, A005408, A014107.
%K A199479 easy,nonn,tabl
%O A199479 0,5
%A A199479 _Philippe Deléham_, Nov 06 2011