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A365844
Expansion of (1/x) * Series_Reversion( x*(1-x)^4/(1+x)^3 ).
3
1, 7, 74, 931, 12894, 189798, 2913980, 46140347, 748022678, 12354604274, 207148525484, 3516699607022, 60328735646620, 1044182053141612, 18212018061261600, 319771572646888811, 5647677332549552870, 100266714048150595770, 1788366334642393259292
OFFSET
0,2
FORMULA
a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(4*n+k+3,k) * binomial(3*(n+1),n-k).
PROG
(PARI) a(n) = sum(k=0, n, binomial(4*n+k+3, k)*binomial(3*(n+1), n-k))/(n+1);
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 20 2023
STATUS
approved