



1, 0, 1, 3, 2, 1, 1, 4, 3, 1, 5, 3, 6, 4, 1, 5, 5, 9, 10, 5, 1, 11, 6, 16, 20, 15, 6, 1, 10, 12, 23, 36, 35, 21, 7, 1, 20, 5, 27, 55, 70, 56, 28, 8, 1, 24, 11, 31, 81, 125, 126, 84, 36, 9, 1, 38, 9, 51, 123, 211, 252, 210, 120, 45, 10, 1
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OFFSET

0,4


COMMENTS

Row sums = the partition numbers, A000041: (1, 1, 2, 3, 5, 7, 11, 15, 22,...).


LINKS

Table of n, a(n) for n=0..65.


FORMULA

As an infinite lower triangular matrix, A026794 * the inverse of Pascal's triangle.


EXAMPLE

First few rows of the triangle are:
1;
0, 1;
3, 2, 1;
1, 4, 3, 1;
5, 3, 6, 4, 1;
5, 5, 9, 10, 5, 1;
...
T(3,1) = 3 = (0, 0, 1, 3) dot (3, 1, 0, 1) = (0, 0, 0, 3)


CROSSREFS

Cf. A000041, A026794.
Sequence in context: A239938 A097794 A275494 * A259341 A046225 A269233
Adjacent sequences: A137680 A137681 A137682 * A137684 A137685 A137686


KEYWORD

tabl,sign


AUTHOR

Gary W. Adamson, Feb 05 2008


STATUS

approved



