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A001280 Number of permutations of length n by rises.
(Formerly M4811 N2058)
2
11, 309, 5805, 95575, 1516785, 24206055, 396475975, 6733084365, 119143997490, 2201649739310, 42514526708766, 857750898213594, 18068801884373310, 397038791150060850, 9090755207499817170, 216635190303090215910 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,1

REFERENCES

F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 264.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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=8..23.

FORMULA

a(n) = A136123(n,4). - Emeric Deutsch and _Vladet Jovovic_, Dec 17 2007

Conjecture: D-finite with recurrence (n-8)*(n-9)*a(n) -(n-9)*(n^2-6*n-2)*a(n-1) +(2*n^3-33*n^2+143*n-118)*a(n-2) +(5*n^2-27*n+16)*a(n-3) -2*(n-5)*(n-3)*(n-4)*a(n-4) +(n-5)*(n-3)*(n-4)*a(n-5)=0. - R. J. Mathar, Jul 01 2022

CROSSREFS

Sequence in context: A180056 A172506 A250551 * A100445 A193890 A317744

Adjacent sequences:  A001277 A001278 A001279 * A001281 A001282 A001283

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Vladeta Jovovic, Nov 21 2007

STATUS

approved

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Last modified August 9 12:53 EDT 2022. Contains 356026 sequences. (Running on oeis4.)