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A369509 Expansion of (1/x) * Series_Reversion( x * ((1-x)^2-x)^2 ). 0
1, 6, 61, 756, 10406, 152880, 2348164, 37250298, 605592377, 10036783746, 168947499695, 2880456168330, 49638925087101, 863251245610368, 15130529347412496, 267011151724625220, 4740245924729076390, 84599747038748783220, 1516992745930706932654 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(2*n+k+1,k) * binomial(5*n+k+3,n-k).
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(serreverse(x*((1-x)^2-x)^2)/x)
(PARI) a(n) = sum(k=0, n, binomial(2*n+k+1, k)*binomial(5*n+k+3, n-k))/(n+1);
CROSSREFS
Sequence in context: A236670 A142970 A034659 * A064088 A342110 A191803
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jan 25 2024
STATUS
approved

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Last modified June 19 11:49 EDT 2024. Contains 373503 sequences. (Running on oeis4.)