A145167 G.f. A(x) satisfies A(x/A(x)^6) = 1/(1-x).

1, 1, 7, 106, 2349, 65078, 2093770, 75175383, 2941004409, 123442051582, 5500018250128, 258162075155942, 12693904947530988, 651028563908092621, 34708995997762871047, 1918449419812267920842, 109690826250327197055475

Offset: 0

Author

Paul D. Hanna, Oct 03 2008

Keywords

• nonn

Crossrefs

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

Programs

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)}

Formula

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

Self-convolution square yields A145168.

Self-convolution cube yields A145169.

Self-convolution 6th power yields A145170.