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A162745 A Fibonacci-Pascal matrix. 1
1, 1, 1, 1, 3, 1, 1, 6, 6, 1, 1, 10, 20, 10, 1, 1, 15, 50, 50, 15, 1, 1, 21, 105, 173, 105, 21, 1, 1, 28, 196, 476, 476, 196, 28, 1, 1, 36, 336, 1120, 1643, 1120, 336, 36, 1, 1, 45, 540, 2352, 4707, 4707, 2352, 540, 45, 1, 1, 55, 825, 4530, 11775, 16040, 11775, 4530, 825 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are A162746.

LINKS

Table of n, a(n) for n=0..63.

P. Barry, On a Generalization of the Narayana Triangle, J. Int. Seq. 14 (2011) # 11.4.5

FORMULA

Number triangle T(n,k)=sum{j=0..n, C(n,j)*C(n-j,2(k-j))*F(k-j+1)}.

EXAMPLE

Triangle begins

1,

1, 1,

1, 3, 1,

1, 6, 6, 1,

1, 10, 20, 10, 1,

1, 15, 50, 50, 15, 1,

1, 21, 105, 173, 105, 21, 1,

1, 28, 196, 476, 476, 196, 28, 1,

1, 36, 336, 1120, 1643, 1120, 336, 36, 1,

1, 45, 540, 2352, 4707, 4707, 2352, 540, 45, 1

CROSSREFS

Sequence in context: A299146 A114176 A056241 * A001263 A162747 A107105

Adjacent sequences:  A162742 A162743 A162744 * A162746 A162747 A162748

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Jul 12 2009

STATUS

approved

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Last modified October 19 13:38 EDT 2018. Contains 316361 sequences. (Running on oeis4.)