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.

A116669 Triangle, rows tend to A001787, number of edges in n-dimensional hypercubes.

This page as a plain text file.
%I A116669 #2 Mar 30 2012 17:25:12
%S A116669 1,1,1,1,4,1,1,4,7,1,1,4,12,10,1,1,4,12,25,13,1,1,4,12,32,43,16,1,1,4,
%T A116669 12,32,71,66,19,1,1,4,12,32,80,136,94,22,1
%N A116669 Triangle, rows tend to A001787, number of edges in n-dimensional hypercubes.
%C A116669 Rows tend to A001787: 1, 4, 12, 32, 80, 192, 448...(number of edges in n-dimensional hypercubes). First difference terms of the triangle columns become rows of the triangle A116666.
%F A116669 Construct an array formed by taking binomial transforms of (1,0,0,0...); (1,3,0,0,0...); (1,3,5,0,0,0). Antidiagonals of the array become rows of the triangle.
%e A116669 First few rows of the array are:
%e A116669 1 1 1 1 1...
%e A116669 1 4 7 10 13...
%e A116669 1 4 12 25 43...
%e A116669 1 4 12 32 71...
%e A116669 ...
%e A116669 By taking antidiagonals, first few rows of the triangle are:
%e A116669 1;
%e A116669 1, 1;
%e A116669 1, 4, 1;
%e A116669 1, 4, 7, 1;
%e A116669 1, 4, 12, 10, 1;
%e A116669 1, 4, 12, 25, 13, 1;
%e A116669 ...
%Y A116669 Cf. A001787, A116666, A116668.
%K A116669 nonn,tabl
%O A116669 1,5
%A A116669 _Gary W. Adamson_, Feb 22 2006