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A095799 Bell triangle squared. +0
1
1, 3, 4, 15, 21, 25, 107, 149, 200, 225, 1054, 1420, 1909, 2479, 2704, 13684, 17814, 23313, 30439, 38505, 41209, 224071, 383592, 360853, 461015, 487641, 727920, 769129, 4471699, 283592, 360853, 461015, 587641, 727920, 769129 (list; graph; listen)
OFFSET

1,2

COMMENT

Anti-diagonal terms 1, 4, 25, 225, 2704...= A001247, Bell number squares starting with n=1.

FORMULA

Let M = the Bell triangle (A011971) as a matrix (fill in with zeros) as the 3 X 3 matrix [1 0 0 / 1 2 0 / 2 3 5] Then n rows of the squared Bell Triangle (as a matrix) = M^n.

EXAMPLE

Square of [1 0 0 / 1 2 0 / 2 3 5] = [1 0 0 / 3 4 0 / 15 21 25].

CROSSREFS

Cf. A011971, A001247.

Sequence in context: A041435 A136210 A041819 this_sequence A109926 A065942 A036759

Adjacent sequences: A095796 A095797 A095798 this_sequence A095800 A095801 A095802

KEYWORD

nonn,uned

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 06 2004

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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