A003316 confusion

[David W. Wilson]

Solution to my recent confusion:

Emeric Deutsch points out that A003316 is concerned with SUBSEQUENCES
of not necessarily adjacent elements, while A008304 is concerned with
RUNS of adjacent elements.  My misunderstanding of A003316 explains
why I was unable to reconcile it with A008304.

In fact, A003316 is obtainable from A047874.  The analogous sequence
obtained from A008304 does not yet exist in the EIS, but begins

    1,3,12,55,299,1900,13942

I will try to supply more details later.