[seqfan] Ron Hardin's A200782

[Neil Sloane]

Dear Seq Fans
Here is yet another illustration of the rewards of having a lot of
sequences in the OEIS: Ron Hardin's A200782 (one of a large number of
sequences he has submitted, always with my blessing) appears to coincide
with a sequence (A225381) that arises from a certain non-associative
structure.

A200782 is Number of 0..5 arrays x(0..n+1) of n+2 elements without any two
consecutive increases
A225381 is Dimensions of homogeneous components of the universal
associative envelope for a certain nonassociative triple system.

Corollary: Memo to OEIS editors: be open-minded! Not sure if a sequence
should be accepted? Then accept it!