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A176202 Convolution triangle, row sums = A000041. M = A000041 in each column with two interleaved zeros; Q = A000726 diagonalized with the rest zeros. A176202 = M*Q. 3
1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 4, 0, 0, 2, 0, 0, 5, 2, 0, 0, 2, 0, 0, 7, 0, 2, 0, 0, 4, 0, 0, 9, 0, 0, 4, 0, 0, 5, 0, 0, 13, 3, 0, 0, 4, 0, 0, 7, 0, 0, 16, 0, 3, 0, 0, 8, 0, 0, 9, 0, 0, 22, 0, 0, 6, 0, 0, 10, 0, 0, 13, 0, 0, 27 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

Row sums = A000041

LINKS

Table of n, a(n) for n=0..77.

FORMULA

Let M = an infinite lower triangular matrix with A000041 interleaved with two

zeros in each column. Q = A000726 diagonalized, with the rest zeros. A176202

= M*Q

EXAMPLE

First few rows of the triangle =

1;

0, 1;

0, 0, 2;

1, 0, 0, 2;

0, 1, 0, 0, 4;

0, 0, 2, 0, 0, 5;

2, 0, 0, 2, 0, 0, 7;

0, 2, 0, 0, 4, 0, 0, 9;

0, 0, 4, 0, 0, 5, 0, 0, 13;

3, 0, 0, 4, 0, 0, 7, 0, 0, 16;

0, 3, 0, 0, 8, 0, 0, 9, 0, 0, 22;

0, 0, 6, 0, 0, 10, 0, 0, 13, 0, 0, 27;

5, 0, 0, 6, 0, 0, 14, 0, 0, 16, 0, 0, 36;

0, 5, 0, 0, 12, 0, 0, 18, 0, 0, 22, 0, 0, 44;

0, 0, 10, 0, 0, 15, 0, 0, 26, 0, 0, 27, 0, 0, 57;

7, 0, 0, 10, 0, 0, 21, 0, 0, 32, 0, 0, 36, 0, 0, 70;

0, 7, 0, 0, 20, 0, 0, 27, 0, 0, 44, 0, 0, 44, 0, 0, 89;

0, 0, 14, 0, 0, 25, 0, 0, 39, 0, 0, 54, 0, 0, 57, 0, 0, 108;

11, 0, 0, 14, 0, 0, 35, 0, 0, 48, 0, 0, 72, 0, 0, 70, 0, 0, 135;

...

CROSSREFS

Cf. A000041, A000726, A113685, A174714

Sequence in context: A054673 A155103 A048105 * A040081 A239393 A256637

Adjacent sequences:  A176199 A176200 A176201 * A176203 A176204 A176205

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Apr 11 2010

STATUS

approved

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Last modified March 26 10:42 EDT 2017. Contains 284111 sequences.