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A158303 Triangle read by rows, A007318 * ((A158300 * 0^(n-k)). +0
1
1, 1, 2, 1, 4, 2, 1, 6, 6, 8, 1, 8, 12, 32, 8, 1, 10, 20, 80, 40, 32, 1, 12, 30, 160, 120, 192, 32, 1, 14, 42, 280, 280, 672, 224, 128, 1, 16, 56, 448, 560, 1792, 896, 1024, 128, 1, 18, 72, 672, 1008, 4032, 2688, 4608, 1152, 512 (list; graph; listen)
OFFSET

0,3

COMMENT

Row sums = A122983: (1, 3, 7, 21, 61, 183, 547, 1641,...). Odd row sums = A054879 starting with a "1": (1, 3, 21, 183, 1641,...). Even row sums = A066443: A066443: (1, 7, 61, 547, 4921, 44287,...)

FORMULA

Triangle read by rows, A007318 * ((A158300 * 0^(n-k)). Equals binomial transform of an infinite lower triangular matrix with A158300: (1, 2, 2, 8, 8, 32, 32,...) as the main diagonal and the rest zeros.

EXAMPLE

First few rows of the triangle =

1;

1, 2;

1, 4, 2;

1, 6, 6, 8;

1, 8, 12, 32, 8;

1, 10, 20, 80, 40, 32;

1, 12, 30, 160, 120, 192, 32;

1, 14, 42, 280, 280, 672, 224, 128;

1, 16, 56, 448, 560, 1792, 896, 1024, 128;

1, 18, 72, 672, 1008, 4032, 2688, 4608, 1152, 512;

1, 20, 90, 960, 1680, 8064, 6720, 15360, 5760, 5120, 512;

...

CROSSREFS

Cf. A158300, A122983, A054879, A066443

Adjacent sequences: A158300 A158301 A158302 this_sequence A158304 A158305 A158306

Sequence in context: A126279 A135837 A027144 this_sequence A035607 A059370 A084534

KEYWORD

nonn

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 15 2009

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.


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