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.

A144157 Eigentriangle, row sums = A011782: (1, 1, 2, 4, 8, 16, ...).

This page as a plain text file.
%I A144157 #4 Feb 08 2022 23:37:36
%S A144157 1,0,1,1,0,1,1,1,0,2,2,1,1,0,4,3,2,1,2,0,8,5,3,2,2,4,0,16,8,5,3,4,4,8,
%T A144157 0,32,13,8,5,6,8,8,16,0,64
%N A144157 Eigentriangle, row sums = A011782: (1, 1, 2, 4, 8, 16, ...).
%C A144157 Row sums = A011782: (1, 1, 2, 4, 8, 16, ...).
%C A144157 Left border = A144157: (1, 0, 1, 1, 2, 3, 5, 8, ...).
%C A144157 Sum of n-th row terms = rightmost term of next row.
%F A144157 Triangle read by rows, A * B. A = an infinite lower triangular decrescendo subsequences triangle with A144157: (1, 0, 1, 1, 2, 3, 5, 8, ...) in every column; and B = (A011782 * 0^(n-k)), 0 <= k <= n = (1; 0,1; 0,0,2; 0,0,0,4; 0,0,0,0,8; ...).
%e A144157 First few rows of the triangle:
%e A144157    1;
%e A144157    0, 1;
%e A144157    1, 0, 1;
%e A144157    1, 1, 0, 2;
%e A144157    2, 1, 1, 0, 4;
%e A144157    3, 2, 1, 2, 0, 8;
%e A144157    5, 3, 2, 2, 4, 0, 16;
%e A144157    8, 5, 3, 4, 4, 8,  0, 32;
%e A144157   13, 8, 5, 6, 8, 8, 16,  0, 64;
%e A144157   ...
%e A144157 Row 5 = (3, 2, 1, 2, 0, 8) = termwise product of (3, 2, 1, 1, 0, 1) and (1, 1, 1, 2, 4, 8) = (3*1, 2*1, 1*1, 1*2, 0*4, 1*8).
%K A144157 nonn,tabl
%O A144157 0,10
%A A144157 _Gary W. Adamson_, Sep 12 2008