OFFSET
0,2
COMMENTS
Represents the numbers of ordered compositions of n using the terms of A224342: (1, 2, 3, 6, 10, 18, 32, ...); such that the latter represents the numbers of ordered compositions of n using the terms of A224341.
It appears that given any sequence of real terms pulled out of a hat S(n); repeated iterates of S(n) -> characteristic function of S(n) -> INVERT transform of the latter -> next sequence, (repeat); will converge upon two alternating sequences A224341 and A224342 as a fixed limit, as to absolute values.
FORMULA
The sequences are obtained by taking iterates as described in the comments. There is no known generating function at the date of this submission.
EXAMPLE
CROSSREFS
KEYWORD
nonn
AUTHOR
Gary W. Adamson, Apr 03 2013
STATUS
approved