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A235338 8*binomial(11*n+8,n)/(11*n+8). 3
1, 8, 116, 2080, 41650, 892552, 20027112, 464550336, 11050084695, 268070745800, 6607118937848, 164979021222400, 4164615224071926, 106105019316578800, 2724883054841727200, 70462458864489354624, 1833143662625459289495 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Fuss-Catalan sequence is a(n,p,r) = r*binomial(np+r,n)/(np+r), this is the case p=11, r=8.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

J-C. Aval, Multivariate Fuss-Catalan Numbers, arXiv:0711.0906v1, Discrete Math., 308 (2008), 4660-4669.

Thomas A. Dowling, Catalan Numbers Chapter 7

Wojciech Mlotkowski, Fuss-Catalan Numbers in Noncommutative Probability, Docum. Mathm. 15: 939-955.

FORMULA

G.f. satisfies: B(x) = {1 + x*B(x)^(p/r)}^r, here p=11, r=8.

MATHEMATICA

Table[8 Binomial[11 n + 8, n]/(11 n + 8), {n, 0, 30}]

PROG

(PARI) a(n) = 8*binomial(11*n+8, n)/(11*n+8);

(PARI) {a(n)=local(B=1); for(i=0, n, B=(1+x*B^(11/8))^8+x*O(x^n)); polcoeff(B, n)}

(MAGMA) [8*Binomial(11*n+8, n)/(11*n+8): n in [0..30]];

CROSSREFS

Cf. A230388, A234868, A234869, A234870, A234871, A234872, A234873, A235339, A235340.

Sequence in context: A240890 A241105 A214695 * A231553 A291077 A056988

Adjacent sequences:  A235335 A235336 A235337 * A235339 A235340 A235341

KEYWORD

nonn

AUTHOR

Tim Fulford, Jan 06 2014

STATUS

approved

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Last modified January 18 14:12 EST 2022. Contains 350455 sequences. (Running on oeis4.)