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A096588 a(n)=number of Catalan knight paths in Quadrant I from (0,0) to points on the vertical line x=n. A Catalan knight moves (2 right and 1 up) or (1 right and 1 down). 1
1, 1, 3, 6, 16, 38, 99, 248, 646, 1659, 4342, 11307, 29740, 78115, 206349, 545156, 1445332, 3834559, 10197168, 27140709, 72357778, 193076677, 515843630, 1379308111, 3691755414, 9888374480, 26507373732, 71103941488, 190859621124 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..28.

FORMULA

Row sums of array in A096587.

EXAMPLE

Rows of array T(n,k) in A096587:

1

0 0 1

1 1 0 0 1

0 1 2 2 0 0 1

a(3)=T(3,0)+T(3,1)+...+T(3,6)=6.

CROSSREFS

Cf. A096587.

Sequence in context: A321229 A114410 A190735 * A256943 A275207 A073079

Adjacent sequences:  A096585 A096586 A096587 * A096589 A096590 A096591

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jun 28 2004

STATUS

approved

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Last modified May 21 11:28 EDT 2022. Contains 353908 sequences. (Running on oeis4.)