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A208653 a(n) = Product_{i=floor((n + 1)/2)..n-1} binomial(n-1, i). 4
1, 1, 1, 3, 4, 50, 90, 5145, 12544, 3429216, 11340000, 15219319500, 68309049600, 457937132487120, 2790771598030416, 94609025993497640625, 783056974947287040000, 135476575389769051389952000, 1523136299736565293430210560, 1354434926051634531310373234715648 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,4
COMMENTS
Used with A208652 to count palindromic paths for A208654.
LINKS
MATHEMATICA
m[n_]:=Floor[(n+1)/2]; z=21;
h[n_]:=Product[Binomial[n-1, i], {i, m[n], n-1}]
Table[h[n], {n, 1, z}] (* A208653 *)
CROSSREFS
Sequence in context: A198051 A032839 A056855 * A080073 A032840 A114694
KEYWORD
nonn
AUTHOR
Clark Kimberling, Mar 02 2012
EXTENSIONS
Definition corrected by Georg Fischer, Feb 01 2022
STATUS
approved

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Last modified February 29 04:26 EST 2024. Contains 370401 sequences. (Running on oeis4.)