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 A199334 #21 Apr 07 2023 18:30:12 %S A199334 0,1,1,1,2,3,2,3,5,8,3,5,8,13,21,5,8,13,21,34,55,8,13,21,34,55,89,144, %T A199334 13,21,34,55,89,144,233,377,21,34,55,89,144,233,377,610,987,34,55,89, %U A199334 144,233,377,610,987,1597,2584 %N A199334 Triangle T(n,k) = Fibonacci(n+k), related to A000045 (Fibonacci numbers). %F A199334 T(n,0) = Fibonacci(n) = A000045(n), %F A199334 T(n,n) = Fibonacci(2n) = A001906(n), %F A199334 T(2n,n) = Fibonacci(3n) = A014445(n). %F A199334 T(n,k) = T(n,k-1) + T(n-1,k-1) = T(n-1,k-1) + T(n-1,k). %e A199334 Triangle begins : %e A199334 0; %e A199334 1, 1; %e A199334 1, 2, 3; %e A199334 2, 3, 5, 8; %e A199334 3, 5, 8, 13, 21; %e A199334 5, 8, 13, 21, 34, 55; %e A199334 8, 13, 21, 34, 55, 89, 144; %e A199334 13, 21, 34, 55, 89, 144, 233, 377; %e A199334 ... %Y A199334 Cf. A000045, A001906, A014445. %Y A199334 Row sums give A362067. %K A199334 easy,nonn,tabl %O A199334 0,5 %A A199334 _Philippe Deléham_, Nov 07 2011