[seqfan] Convolve tribonacci with trinomials = A099464?

David Scambler dscambler at bmm.com
Mon Oct 18 04:57:41 CEST 2010


Sum {k=0..2n} ( tribonacci(k) * trinomial(n,k) ) = tribonacci(3n) = A099464.
Already known? Obvious?

Note that A074581 also claims to be tribonacci(3n) but I think it is actually tribonacci(3n+1).

A similar formula apparently applies,
Sum {k=0..2n} ( tribonacci(k+1) * trinomial(n,k) ) = tribonacci(3n+1) = A074581.


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