The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.



(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A224341 Apparently solves the identity: Find sequence A that represents the numbers of ordered compositions of n into the elements of the set {B}; and vice versa. 2
1, 2, 4, 7, 13, 25, 46, 86, 161, 301, 562, 1051, 1964, 3670, 6859, 12819, 23956, 44772, 83673 (list; graph; refs; listen; history; text; internal format)



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.


Table of n, a(n) for n=0..18.


The sequences are obtained by taking iterates as described in the comments. There is no known generating function at the date of this submission.


Given the sequence (1, 0, 0, 0,...), a few iterates using the rules rapidly converge upon A224341 and A224342.


Cf. A224342, A079958.

Sequence in context: A034440 A000074 A079958 * A235684 A018082 A018083

Adjacent sequences:  A224338 A224339 A224340 * A224342 A224343 A224344




Gary W. Adamson, Apr 03 2013



Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 26 20:17 EDT 2021. Contains 346294 sequences. (Running on oeis4.)