A191805
G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^(n^3).
Original entry on oeis.org
1, 1, 2, 11, 83, 809, 9503, 130107, 2056768, 37137351, 761543233, 17637050418, 458225405825, 13265643258608, 424971569670808, 14963974979730138, 575619170223815326, 24056794697473352763, 1087014831018615150024
Offset: 0
G.f.: A(x) = 1 + x + 2*x^2 + 11*x^3 + 83*x^4 + 809*x^5 + 9503*x^6 +...
where the g.f. satisfies:
A(x) = 1 + x*A(x) + x^2*A(x)^8 + x^3*A(x)^27 + x^4*A(x)^64 + x^5*A(x)^125 + x^6*A(x)^216 +...+ x^n*A(x)^(n^3) +...
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{a(n)=local(A=1+x);for(i=1,n,A=1+sum(m=1,n,x^m*(A+x*O(x^n))^(m^3)));polcoeff(A,n)}
A191806
G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^(n^4).
Original entry on oeis.org
1, 1, 2, 19, 253, 5256, 153121, 5793349, 292530822, 18658710139, 1476004466687, 143228682526672, 16603062548806759, 2272210780577578355, 363396388117576899042, 67028665570181029621005, 14142153576677394736652147
Offset: 0
G.f.: A(x) = 1 + x + 2*x^2 + 19*x^3 + 253*x^4 + 5256*x^5 + 153121*x^6 +...
where the g.f. satisfies:
A(x) = 1 + x*A(x) + x^2*A(x)^16 + x^3*A(x)^81 + x^4*A(x)^256 + x^5*A(x)^625 + x^6*A(x)^1296 +...+ x^n*A(x)^(n^4) +...
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{a(n)=local(A=1+x);for(i=1,n,A=1+sum(m=1,n,x^m*(A+x*O(x^n))^(m^4)));polcoeff(A,n)}
A191808
G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^(n^6).
Original entry on oeis.org
1, 1, 2, 67, 2941, 327868, 75504909, 23827165139, 14250056009694, 12425294009958329, 14645969719539739213, 26039632087532302145593, 61861506372519998418244631, 188885323588779065057458593218
Offset: 0
G.f.: A(x) = 1 + x + 2*x^2 + 67*x^3 + 2941*x^4 + 327868*x^5 +...
where the g.f. satisfies:
A(x) = 1 + x*A(x) + x^2*A(x)^64 + x^3*A(x)^729 + x^4*A(x)^4096 + x^5*A(x)^15625 + x^6*A(x)^46656 +...+ x^n*A(x)^(n^6) +...
-
{a(n)=local(A=1+x);for(i=1,n,A=1+sum(m=1,n,x^m*(A+x*O(x^n))^(m^6)));polcoeff(A,n)}
Showing 1-3 of 3 results.