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Row sums of triangle A099555, so that a(n) = Sum_{k=0..2n} (n-[k/2])^k where [k/2] is the integer floor of k/2.
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%I #7 Nov 19 2024 18:06:02

%S 1,2,5,18,91,604,5123,53808,679389,10107934,174544505,3451802006,

%T 77302457077,1942469215378,54339334896457,1680597905918398,

%U 57116435365152501,2121725699286935222,85740960693607190593

%N Row sums of triangle A099555, so that a(n) = Sum_{k=0..2n} (n-[k/2])^k where [k/2] is the integer floor of k/2.

%o (PARI) a(n)=sum(k=0,2*n,(n-k\2)^k)

%Y Cf. A099555.

%K nonn,easy,changed

%O 1,2

%A _Paul D. Hanna_, Oct 22 2004