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.

A181657 Generalized (conditional) Riordan array with k-th column generated by x^k * (1 + x - x^2 + x^3)/(1 - 2x^2 - x^4) if k mod 2 = 0, x^k * (1+x)/(1 - 2x^2 - x^4) otherwise.

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%I A181657 #7 Dec 26 2023 10:19:08
%S A181657 1,1,1,1,1,1,3,2,1,1,3,2,1,1,1,7,5,3,2,1,1,7,5,3,2,1,1,1,17,12,7,5,3,
%T A181657 2,1,1,17,12,7,5,3,2,1,1,1,41,29,17,12,7,5,3,2,1,1,41,29,17,12,7,5,3,
%U A181657 2,1,1,1
%N A181657 Generalized (conditional) Riordan array with k-th column generated by x^k * (1 + x - x^2 + x^3)/(1 - 2x^2 - x^4) if k mod 2 = 0, x^k * (1+x)/(1 - 2x^2 - x^4) otherwise.
%C A181657 An eigentriangle of A181656. Even columns are essentially A001333 doubled. Odd columns are doubled Pell numbers (A000129).
%C A181657 Row sums are A181658.
%e A181657 Triangle begins
%e A181657    1;
%e A181657    1,  1;
%e A181657    1,  1,  1;
%e A181657    3,  2,  1,  1;
%e A181657    3,  2,  1,  1,  1;
%e A181657    7,  5,  3,  2,  1,  1;
%e A181657    7,  5,  3,  2,  1,  1,  1;
%e A181657   17, 12,  7,  5,  3,  2,  1,  1;
%e A181657   17, 12,  7,  5,  3,  2,  1,  1,  1;
%e A181657   41, 29, 17, 12,  7,  5,  3,  2,  1,  1;
%e A181657   41, 29, 17, 12,  7,  5,  3,  2,  1,  1,  1;
%K A181657 easy,nonn,tabl
%O A181657 0,7
%A A181657 _Paul Barry_, Nov 03 2010