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G.f. A(x) satisfies A(x/A(x)^6) = 1/(1-x).
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%I #4 Mar 13 2015 00:51:38

%S 1,1,7,106,2349,65078,2093770,75175383,2941004409,123442051582,

%T 5500018250128,258162075155942,12693904947530988,651028563908092621,

%U 34708995997762871047,1918449419812267920842,109690826250327197055475

%N G.f. A(x) satisfies A(x/A(x)^6) = 1/(1-x).

%F G.f. satisfies: 1 - 1/A(x) = x*A( 1 - 1/A(x) )^6.

%F Self-convolution square yields A145168.

%F Self-convolution cube yields A145169.

%F Self-convolution 6th power yields A145170.

%o (PARI) {a(n)=local(A=1+x+x*O(x^n),B);for(n=0,n,B=serreverse(x/A^6);A=1/(1-B));polcoeff(A,n)}

%Y Cf. A145168 (A^2), A145169 (A^3), A145170 (A^6); A088713, A145158, A145160, A145162, A145165.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Oct 03 2008