A378069 a(n) = Sum_{k=0..n} binomial(n, floor(k/2 - 1/2)) * binomial(n, ceiling(k/2 - 1/2)).

0, 1, 3, 13, 45, 181, 658, 2605, 9705, 38251, 144606, 569317, 2173262, 8556822, 32890068, 129565485, 500583105, 1973295775, 7654363750, 30194784763, 117497078842, 463820452602, 1809540528588, 7147843461733, 27946421773270, 110458073192026, 432648616232028

Offset

0,3

Links

Table of n, a(n) for n=0..26.

Maple

a := n -> add(binomial(n, floor(k/2 - 1/2))*binomial(n, ceil(k/2 - 1/2)), k=0..n):
seq(a(n), n = 0..26);

Crossrefs

Cf. A007318, A005566, A378070.

Sequence in context: A308087 A232231 A121136 * A350175 A239592 A017943

Adjacent sequences: A378064 A378065 A378066 * A378070 A378071 A378072

Keyword

nonn,easy,new

Author

Peter Luschny, Dec 14 2024

Status

approved