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A366089
Expansion of (1/x) * Series_Reversion( x*(1-x)^3/(1-x-x^4) ).
5
1, 2, 7, 30, 142, 715, 3756, 20349, 112864, 637659, 3656775, 21229923, 124531256, 736920158, 4393859967, 26371222935, 159193382812, 965923527255, 5887659026592, 36034716884127, 221362690616841, 1364404640452602, 8435444693847402
OFFSET
0,2
LINKS
FORMULA
a(n) = (1/(n+1)) * Sum_{k=0..floor(n/4)} (-1)^k * binomial(n+1,k) * binomial(3*n-3*k+1,n-4*k).
PROG
(PARI) a(n) = sum(k=0, n\4, (-1)^k*binomial(n+1, k)*binomial(3*n-3*k+1, n-4*k))/(n+1);
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 28 2023
STATUS
approved