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A371579 G.f. satisfies A(x) = ( 1 + x*A(x)^(5/2) * (1 + x*A(x))^2 )^2. 1
1, 2, 15, 134, 1367, 15032, 173836, 2083806, 25660383, 322666882, 4125822703, 53482104104, 701223274308, 9283066366256, 123912439591104, 1665895096499278, 22537232138264271, 306586712969384678, 4191205834907493725, 57548344232637695030, 793311718924341065567 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
If g.f. satisfies A(x) = ( 1 + x*A(x)^(t/r) * (1 + x*A(x)^(u/r))^s )^r, then a(n) = r * Sum_{k=0..n} binomial(t*k+u*(n-k)+r,k) * binomial(s*k,n-k)/(t*k+u*(n-k)+r).
PROG
(PARI) a(n, r=2, s=2, t=5, u=2) = r*sum(k=0, n, binomial(t*k+u*(n-k)+r, k)*binomial(s*k, n-k)/(t*k+u*(n-k)+r));
CROSSREFS
Cf. A371574.
Sequence in context: A140306 A143924 A217483 * A214043 A347993 A215922
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Mar 28 2024
STATUS
approved

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Last modified May 22 04:07 EDT 2024. Contains 372742 sequences. (Running on oeis4.)