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A214436
The number of up-up-down permutations of Z(4n-1).
0
2, 132, 84512, 223951392, 1685183094272, 28969792974769152, 987034310041026732032
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OFFSET
1,1
COMMENTS
The equation in Theorem 3.2 of the paper contains a typographical index error: The correct denominator in the e.g.f. is phi_0(x)^2-phi_1(x)*phi_3(x), equivalent to eq. (3.14).
LINKS
Table of n, a(n) for n=1..7.
L. Carlitz and Richard Scoville,
Enumeration of rises and falls by position
, Discr. Math. 5 (1973) 45-59, variable B(4n-1).
MAPLE
Ph := proc(i, x)
local n;
add( x^(4*n+i)/(4*n+i)!, n=0..90) ;
end proc:
g := (Ph(1, x)*Ph(2, x)-Ph(0, x)*Ph(3, x) ) / (Ph(0, x)^2-Ph(1, x)*Ph(3, x)) ;
for n from 3 to 29 by 4 do
coeftayl(g, x=0, n)*n! ;
end do;
CROSSREFS
Sequence in context:
A174585
A186194
A099682
*
A135759
A014315
A221468
Adjacent sequences:
A214433
A214434
A214435
*
A214437
A214438
A214439
KEYWORD
nonn
AUTHOR
R. J. Mathar
, Jul 17 2012
STATUS
approved
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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)