A096609 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A096609

a(n)=number of Catalan knight paths in right half-plane from (0,0) to (n,0).

1, 0, 2, 0, 8, 6, 44, 60, 256, 460, 1582, 3360, 10324, 24150, 69652, 172200, 479728, 1225308, 3350972, 8727312, 23638174, 62295420, 167923252, 445808220, 1199180360, 3198756132, 8598547622, 23009417080, 61856381708, 165897510350

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

COMMENTS

Column 0 of the array in A096608.

LINKS

Paolo Xausa, Table of n, a(n) for n = 0..1000

MATHEMATICA

A096609[nmax_]:=Module[{T}, T[0, 0]=1; T[n_, k_]:=T[n, k]=If[k<=2n, T[n-1, Abs[k-2]]+T[n-2, Abs[k-1]]+T[n-1, k+2]+T[n-2, k+1], 0]; Table[T[n, 0], {n, 0, nmax}]]; A096609[50] (* Paolo Xausa, May 09 2023 *)

CROSSREFS

Cf. A096608, A096610, A096611, A096612.

Sequence in context: A316133 A359451 A243443 * A318136 A168037 A019658

Adjacent sequences: A096606 A096607 A096608 * A096610 A096611 A096612

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jun 29 2004

STATUS

approved