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A104728 Triangle, row sums = A051798. +0
1
1, 9, 4, 30, 18, 7, 70, 48, 27, 10, 135, 100, 66, 36, 13, 231, 180, 130, 84, 45, 16, 364, 294, 225, 160, 102, 54, 19, 540, 448, 357, 270, 190, 120, 63, 22 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Leftmost column (1, 9, 30, 70, 135...) = Octagonal pyramidal numbers, A002414. Row sums = A051798: 1, 13, 55, 155, 350, 686...(partial sums of A007586).

FORMULA

The triangle is extracted from A * B, A = [1; 1, 4; 1, 4, 7;...]; B = [1; 2, 1; 3, 2, 1;...]; both infinite lower triangular matrices with the rest of the terms zeros.

EXAMPLE

The first few rows of the triangle are:

1;

9, 4;

30, 18, 7;

70, 48, 27, 10;

...

CROSSREFS

Cf. A051798, A007586, A002414.

Sequence in context: A061363 A100077 A014717 this_sequence A058093 A164032 A122846

Adjacent sequences: A104725 A104726 A104727 this_sequence A104729 A104730 A104731

KEYWORD

nonn,uned,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 20 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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