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A144155 Bell convolution triangle, T(n,k) = A000110(n-k)*A000110(k) +0
2
1, 1, 1, 2, 1, 2, 5, 2, 2, 5, 15, 5, 4, 5, 15, 52, 15, 10, 10, 15, 52, 203, 52, 30, 25, 30, 52, 203, 877, 203, 104, 75, 75, 104, 203, 877 (list; table; graph; listen)
OFFSET

0,4

COMMENT

Row sums = A014322: (1, 2, 5, 14, 44, 154,...) the Bell numbers convolved with themselves.

FORMULA

Triangle read by rows, T(n,k) = A000110(n-k)*A000110(k)

EXAMPLE

First few rows of the triangle =

1;

1, 1;

2, 1, 2;

5, 2, 2, 5;

15, 5, 4, 5, 15;

52, 15, 10, 10, 15, 52;

203, 52, 30, 25, 30, 52, 203;

...

Row 3 = (5, 2, 2, 5) = termwise products of (1, 1, 2, 5) and (5, 2, 1, 1) = (5*1, 2*2, 2*1, 5*1).

CROSSREFS

A000110, Cf. A014322

Sequence in context: A147292 A078391 A153206 this_sequence A109631 A095149 A064192

Adjacent sequences: A144152 A144153 A144154 this_sequence A144156 A144157 A144158

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 12 2008

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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