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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
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).
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
KEYWORD
nonn
EXTENSIONS
More terms from Vladeta Jovovic, Nov 21 2007
STATUS
approved