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 A370798 Expansion of (1/x) * Series_Reversion( x/(x+1/(1-x-x^4)) ). 1

%I #8 Mar 02 2024 10:37:45

%S 1,2,5,15,52,200,824,3549,15745,71343,328537,1532838,7230341,34425026,

%T 165230211,798643501,3884110353,18993027790,93325418867,460562269745,

%U 2281769792691,11344607718373,56585135577335,283067227288767,1419859530338142,7139644680794750

%N Expansion of (1/x) * Series_Reversion( x/(x+1/(1-x-x^4)) ).

%H <a href="/index/Res#revert">Index entries for reversions of series</a>

%F a(n) = Sum_{k=0..n} binomial(n,k) * b(k), where g.f. B(x) = Sum_{k>=0} b(k)*x^k satisfies B(x) = (1/x) * Series_Reversion( x*(1-x-x^4) ).

%o (PARI) my(N=30, x='x+O('x^N)); Vec(serreverse(x/(x+1/(1-x-x^4)))/x)

%Y Cf. A218225, A370797.

%Y Cf. A063021.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Mar 02 2024

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Last modified July 21 20:59 EDT 2024. Contains 374475 sequences. (Running on oeis4.)