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A091594 Triangle read by rows: T(n,m) := sum{k=0..floor((n-m)/2), binomial(n-2k,m)binomial(n-m-k,k)}. 0
1, 1, 1, 2, 2, 1, 3, 4, 3, 1, 5, 8, 7, 4, 1, 8, 15, 16, 11, 5, 1, 13, 28, 34, 28, 16, 6, 1, 21, 51, 70, 66, 45, 22, 7, 1, 34, 92, 140, 148, 116, 68, 29, 8, 1, 55, 164, 274, 320, 281, 190, 98, 37, 9, 1, 89, 290, 527, 672, 651, 494, 295, 136, 46, 10, 1, 144, 509, 999, 1379, 1456 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

A Fibonacci related number triangle.

LINKS

Table of n, a(n) for n=0..70.

FORMULA

k-th column has e.g.f. 1/(1-x-x^2)(x(1-x^2)/(1-x-x^2))^k.

EXAMPLE

Rows begin {1}, {1,1}, {2,2,1}, {3,4,3,1}...

CROSSREFS

Columns include A000045, A029907, A054455. Row sums are A006054.

Sequence in context: A283822 A210789 A105809 * A118032 A089692 A066201

Adjacent sequences:  A091591 A091592 A091593 * A091595 A091596 A091597

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Jan 23 2004

STATUS

approved

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Last modified November 13 01:32 EST 2018. Contains 317118 sequences. (Running on oeis4.)