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A365840
Expansion of (1/x) * Series_Reversion( x*(1-x)^4/(1+x)^2 ).
2
1, 6, 55, 602, 7263, 93192, 1247636, 17230290, 243669007, 3511010950, 51361157967, 760784343128, 11387857096900, 171988619895216, 2617571721008520, 40105744064042626, 618116513218831407, 9576289414539654450, 149053521972041737413
OFFSET
0,2
FORMULA
a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(4*n+k+3,k) * binomial(2*(n+1),n-k).
PROG
(PARI) a(n) = sum(k=0, n, binomial(4*n+k+3, k)*binomial(2*(n+1), n-k))/(n+1);
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 20 2023
STATUS
approved