

A144963


Eigentriangle, row sums = A000081 starting (1, 2, 4, 9, 20, 48, 115, ...).


2



1, 1, 1, 1, 1, 2, 2, 1, 2, 4, 3, 2, 2, 4, 9, 8, 3, 4, 4, 9, 20, 16, 8, 6, 8, 9, 20, 48, 41, 16, 16, 12, 18, 20, 48, 115, 98, 41, 32, 32, 27, 40, 115, 286, 250, 98, 82, 64, 72, 60, 96, 115, 286, 719
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OFFSET

1,6


COMMENTS

Row sums = A000081 starting with offset 2: (1, 2, 4, 9, 20, 48, 115, ...).
Right border = (1, 1, 2, 4, 9, 20, 48, ...).
Left border = A051573: (1, 1, 1, 2, 3, 8, 16, 41, ...).
Sum of nth row terms = rightmost term of next row.


LINKS



FORMULA

Eigentriangle by rows, termwise products of A000081 starting with offset 2: (1, 2, 4, 9, 20, 48, ...) and row terms of an A051573 decrescendo triangle: (1; 1,1; 1,1,1; 2,1,1,1; 3,2,1,1,1; ...) where A051573 = (1, 1, 1, 2, 3, 8, 16, 41, ...).


EXAMPLE

First few rows of the triangle:
1;
1, 1;
1, 1, 2;
2, 1, 2, 4;
3, 2, 2, 4, 9;
8, 3, 4, 4, 9, 20;
16, 8, 6, 8, 9, 20, 48;
41, 16, 16, 12, 18, 20, 48, 115;
98, 41, 32, 32, 27, 40, 48, 115, 286;
...
Row 4 = (2, 1, 2, 4) = termwise products of (2, 1, 1, 1) and (1, 1, 2, 4).


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



