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.

A131049 (1/4) * (A007318^3 - A007318^(-1)).

This page as a plain text file.
%I A131049 #4 Feb 21 2022 00:23:26
%S A131049 1,2,2,7,6,3,20,28,12,4,61,100,70,20,5,182,366,300,140,30,6,547,1274,
%T A131049 1281,700,245,42,7,1640,4376,5096,3416,1400,392,56,8,4921,14760,19692,
%U A131049 15288,7686,2520,588,72,9
%N A131049 (1/4) * (A007318^3 - A007318^(-1)).
%C A131049 Row sums = powers of 4: (1, 4, 16, 64, ...).
%C A131049 Left border = A015518: (1, 2, 7, 20, 61, 182, ...).
%F A131049 (1/4) * (P^3 - 1/P), where P = Pascal's triangle, A007318. Delete right border of zeros.
%e A131049 First few rows of the triangle:
%e A131049     1;
%e A131049     2,    2;
%e A131049     7,    6,    3;
%e A131049    20,   28,   12,   4;
%e A131049    61,  100,   70,  20,   5;
%e A131049   182,  366,  300, 140,  30,  6;
%e A131049   547, 1274, 1281, 700, 245, 42, 7;
%e A131049   ...
%Y A131049 Cf. A015518, A007318, A131047, A131048, A131050, A131051.
%K A131049 nonn,tabl
%O A131049 1,2
%A A131049 _Gary W. Adamson_, Jun 12 2007