

A158945


Triangle read by rows, A158944 * an infinite matrix with A158943 (prefaced with a 1) as the right border: (1, 1, 1, 3, 5, 10, 19, 36,...) and the rest zeros.


2



1, 0, 1, 2, 0, 1, 0, 2, 0, 3, 3, 0, 2, 0, 5, 0, 3, 0, 6, 0, 10, 4, 0, 3, 0, 10, 0, 19, 0, 4, 0, 9, 0, 20, 0, 36, 5, 0, 4, 0, 15, 0, 38, 0, 69, 0, 5, 0, 12, 0, 30, 0, 72, 0, 131, 6, 0, 5, 0, 20, 0, 57, 0, 138, 0, 250, 0, 6, 0, 15, 0, 40, 0, 108, 0, 262, 0, 476
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OFFSET

1,4


COMMENTS

As a property of eigentriangles, sum of nth row terms = rightmost term of next row. Right border = A158943 prefaced with a 1: (1, 1, 1, 3, 5, 10, 19, 36, 69,...).


LINKS

Table of n, a(n) for n=1..78.


FORMULA

Triangle read by rows, A158944 * an infinite matrix with A158943 (prefaced with a 1) as the right border: (1, 1, 1, 3, 5, 10, 19, 36,...) and the rest zeros.


EXAMPLE

First few rows of the triangle =
1;
0, 1;
2, 0, 1;
0, 2, 0, 3;
3, 0, 2, 0, 5;
0, 3, 0, 6, 0, 10;
4, 0, 3, 0, 10, 0, 19;
0, 4, 0, 9, 0, 20, 0, 36;
5, 0, 4, 0, 15, 0, 38, 0, 69;
0, 5, 0, 12, 0, 30, 0, 72, 0, 131;
6, 0, 5, 0, 20, 0, 57, 0, 138, 0, 250;
0, 6, 0, 15, 0, 40, 0, 108, 0, 262, 0, 476;
7, 0, 6, 0, 25, 0, 76, 0, 207, 0, 500, 0, 907;
...
Row 5 = (3, 0, 2, 0, 5) = termwise products of (3, 0, 2, 0, 1) and (1, 1, 1, 3, 5); where (3, 0, 2, 0, 1) = row 5 of triangle A158944.


CROSSREFS

A158943, A158944
Sequence in context: A084929 A293575 A054014 * A156667 A178090 A110914
Adjacent sequences: A158942 A158943 A158944 * A158946 A158947 A158948


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, Mar 31 2009


STATUS

approved



