A190907 -id:A190907 - cp's OEIS frontend

A190908 a(n) = Sum{0<=k<=n} binomial(n+k, n-k) * k! / (floor(k/2)! * floor((k+2)/2)!).

1, 2, 5, 15, 49, 163, 549, 1875, 6477, 22571, 79213, 279631, 991985, 3533707, 12632909, 45301795, 162890781, 587091795, 2120442517, 7672891151, 27811187377, 100956896179, 366983328885, 1335662387699

Offset: 0

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Peter Luschny, May 24 2011

nonn

Row sums of A190907.

A190908 := n -> add(binomial(n+k,n-k)*k!/(iquo(k,2)!*iquo(k+2,2)!), k=0..n): seq(A190908(n), n=0..24);

cp's OEIS Frontend

A190908 a(n) = Sum{0<=k<=n} binomial(n+k, n-k) * k! / (floor(k/2)! * floor((k+2)/2)!).

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