A005268 Number of elementary sequences of length n. (Formerly M1233)

1, 1, 2, 4, 10, 31, 120, 578, 3422, 24504, 208833, 2086777, 24123293, 318800755, 4766262421, 79874304340, 1488227986802

Offset

1,3

Comments

In Fishburn-Roberts (1989) it is stated that no recurrence is known. - N. J. A. Sloane, Jan 04 2014

References

Fishburn, Peter C.; Roberts, Fred S., Uniqueness in finite measurement. Applications of combinatorics and graph theory to the biological and social sciences, 103--137, IMA Vol. Math. Appl., 17, Springer, New York, 1989. MR1009374 (90e:92099)

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=1..17.

Fishburn, Peter C.; Roberts, Fred S., Uniqueness in finite measurement, in Applications of combinatorics and graph theory to the biological and social sciences, 103--137, IMA Vol. Math. Appl., 17, Springer, New York, 1989. MR1009374 (90e:92099). [Annotated scan of five pages only]

Peter C. Fishburn, Fred S. Roberts, Elementary sequences, sub-Fibonacci sequences. Discrete Appl. Math. 44 (1993), no. 1-3, 261-281.

Sean A. Irvine, Complete set of sequences for a(11)

Crossrefs

Sequences in the Fishburn-Roberts (1989) article: A005269, A005268, A234595, A005272, A003513, A008926.

Sequence in context: A328815 A242347 A138415 * A243931 A005269 A070900

Adjacent sequences: A005265 A005266 A005267 * A005269 A005270 A005271

Keyword

nonn,more

Author

N. J. A. Sloane

Extensions

a(11) corrected and a(12)-a(14) from Sean A. Irvine, Apr 27 2016

a(15)-a(17) from Bert Dobbelaere, Dec 28 2020

Status

approved