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A131299 3*A065941 - 2*A000012. 3
1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 7, 4, 1, 1, 1, 10, 7, 7, 1, 1, 1, 13, 10, 16, 7, 1, 1, 1, 16, 13, 28, 16, 10, 1, 1, 1, 19, 16, 43, 28, 28, 10, 1, 1, 1, 22, 19, 61, 43, 58, 28, 13, 1, 1, 1, 25, 22, 82, 61, 103, 58, 43, 13, 1, 1, 1, 28, 25, 106, 82, 166 (list; table; graph; refs; listen; history; internal format)
OFFSET

0,9

COMMENTS

Row sums = A131300: (1, 2, 3, 7, 14, 27, 49, 86,...). Reversed row triangle = A131301.

LINKS

Nathaniel Johnston, Rows 0..100, flattened

FORMULA

3*A065941 - 2*A000012 as infinite lower triangular matrices.

EXAMPLE

First few rows of the triangle are:

1;

1, 1;

1, 1, 1;

1, 1, 4, 1;

1, 1, 7, 4, 1;

1, 1, 10, 7, 7, 1;

1, 1, 13, 10, 16, 7, 1;

...

MAPLE

seq(seq(3*binomial(n-floor((k+1)/2), floor(k/2))-2, k=0..n), n=0..15); # Nathaniel Johnston, Jun 30 2011

CROSSREFS

Cf. A065941, A000012, A131300, A131301.

Sequence in context: A162400 A179054 A063928 * A073937 A074058 A088440

Adjacent sequences:  A131296 A131297 A131298 * A131300 A131301 A131302

KEYWORD

nonn,tabl,easy

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 27 2007

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Last modified February 16 01:31 EST 2012. Contains 205860 sequences.