

A145579


Eigentriangle, row sums = A001590


2



1, 1, 1, 0, 1, 2, 1, 0, 2, 3, 1, 1, 0, 3, 6, 0, 1, 2, 0, 6, 11, 1, 0, 2, 3, 0, 11, 20, 1, 1, 0, 3, 6, 0, 20, 37, 0, 1, 2, 0, 6, 11, 0, 37, 68, 1, 0, 2, 3, 0, 11, 20, 0, 68, 125
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OFFSET

3,6


COMMENTS

Row sums = A001590 starting (1, 2, 3, 6, 11, 20, 37,...).
Sum of nth row terms = rightmost term of next row.


LINKS

Table of n, a(n) for n=3..57.


FORMULA

Let M = an infinite lower triangular matrix with (1, 1, 0, 1, 1, 0,...) in every column and X = a diagonalized matrix of A001590: (1, 1, 2, 3, 6, 11, 20, 37,...), (i.e. A001590 starting with offset 3 as a diagonal prefaced with a 1; and the rest zeros). Triangle A145579 = M * X.


EXAMPLE

First few rows of the triangle =
1;
1, 1;
0, 1, 2;
1, 0, 2, 3;
1, 1, 0, 3, 6;
0, 1, 2, 0, 6, 11;
1, 0, 2, 3, 0, 11, 20;
1, 1, 0, 3, 6, 0, 20, 37;
0, 1, 2, 0, 6, 11, 0, 37, 68;
1, 0, 2, 3, 0, 11, 20, 0, 68, 125;
...
Row 7 = (1, 1, 0, 3, 6) = termwise products of (1, 1, 0, 1, 1) and (1, 1, 2, 3, 6).


CROSSREFS

A001590
Sequence in context: A123949 A236358 A144082 * A167655 A262781 A157218
Adjacent sequences: A145576 A145577 A145578 * A145580 A145581 A145582


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, Oct 13 2008


EXTENSIONS

Alignment of example rows and unintentional concatenation of values fixed by Charles J. Daniels (chajadan(AT)gmail.com), Dec 05 2009


STATUS

approved



