A223142
G.f. satisfies: A(x)^2 = A(x^2)^2 + 4*x.
Original entry on oeis.org
1, 2, 0, 0, 2, -4, 8, -16, 32, -56, 88, -112, 64, 240, -1264, 4064, -10814, 25500, -54200, 102832, -166020, 190808, 22304, -1058880, 4412424, -13496544, 35306480, -82326496, 172081840, -315115328, 464910368, -363016000, -871587808, 5713552456, -20289991016
Offset: 0
G.f.: A(x) = 1 + 2*x + 2*x^4 - 4*x^5 + 8*x^6 - 16*x^7 + 32*x^8 - 56*x^9 +...
where
A(x)^2 = 1 + 4*x + 4*x^2 + 4*x^4 + 4*x^8 + 4*x^16 + 4*x^32 +...+ 4*x^(2^n) +...
-
{a(n)=local(A=1+x); for(i=1,#binary(n), A=(subst(A, x, x^2)^2+4*x+x*O(x^n))^(1/2)); polcoeff(A, n, x)}
for(n=0,40,print1(a(n),", "))
A382334
Expansion of ( 1 + 9 * Sum_{k>=0} x^(2^k)/(1 - x^(2^k)) )^(1/3).
Original entry on oeis.org
1, 3, -3, 12, -45, 210, -1038, 5331, -28068, 150645, -820713, 4526157, -25217451, 141722985, -802455807, 4573197111, -26211368118, 150988107936, -873651133218, 5075417681184, -29591720994384, 173094835970280, -1015510421231184, 5973910500301608, -35229684687254898
Offset: 0
A382336
Expansion of ( 1 + 9 * Sum_{k>=0} x^(2^k)/(1 - x^(2^k))^2 )^(1/3).
Original entry on oeis.org
1, 3, 0, 0, 21, -111, 504, -2004, 7092, -21150, 43614, 24288, -949878, 7022118, -38308320, 175670820, -691787607, 2250673143, -4994247456, -2841846468, 120496073523, -931900270923, 5282041372722, -25033533979260, 101401747872534, -337523450786736, 757180705527738
Offset: 0
A382196
Expansion of (1 + 9 * Sum_{k>=0} x^(3^k))^(1/3).
Original entry on oeis.org
1, 3, -9, 48, -288, 1917, -13563, 99927, -758079, 5879757, -46401705, 371337021, -3005974710, 24568145019, -202442064183, 1679864383800, -14024716370064, 117715927282470, -992725129013121, 8407191323492226, -71467963130581758, 609605555349330009
Offset: 0
Showing 1-4 of 4 results.
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