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A366042
Expansion of (1/x) * Series_Reversion( x*(1-x)*(1-x^5) ).
1
1, 1, 2, 5, 14, 43, 139, 465, 1595, 5577, 19805, 71240, 259037, 950590, 3516110, 13095440, 49068051, 184839543, 699607625, 2659276675, 10147039881, 38853068780, 149240187330, 574913637375, 2220609902199, 8598120578442, 33366877654697, 129758691426484
OFFSET
0,3
FORMULA
a(n) = (1/(n+1)) * Sum_{k=0..floor(n/5)} binomial(n+k,n) * binomial(2*n-5*k,n).
PROG
(PARI) a(n) = sum(k=0, n\5, binomial(n+k, n)*binomial(2*n-5*k, n))/(n+1);
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 26 2023
STATUS
approved