A385207 G.f. A(x) satisfies A(x) = ( 1 + 49*x*A(x)^6 )^(1/7).
1, 7, 147, 3430, 79233, 1714314, 32471124, 450360372, 0, -313409171166, -15459345780879, -537166232508360, -15185812043764453, -348420909370148580, -5588125164812112720, 0, 4783756561471246040577, 254794190560328322173970, 9445124186699596552669050
Offset: 0
Keywords
Programs
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PARI
a(n) = 49^n*binomial(6*n/7+1/7, n)/(6*n+1);
Formula
a(n) = 49^n * binomial(6*n/7+1/7,n)/(6*n+1).
G.f. A(x) satisfies A(x) = 1/A(-x*A(x)^5).
G.f.: ( (1/x) * Series_Reversion(x/(1+49*x)^(6/7)) )^(1/6).
a(7*n+1) = 0 for n > 0.
G.f.: 1/B(-x), where B(x) is the g.f. of A385206.