A382333 Expansion of ( 1 + 4 * Sum_{k>=0} x^(2^k)/(1 - x^(2^k)) )^(1/2).

1, 2, 2, -2, 8, -10, 6, 26, -108, 258, -342, -194, 2700, -8994, 17830, -12878, -61910, 322110, -860106, 1284546, 571880, -10749654, 38883554, -82867578, 68869212, 286234558, -1619591538, 4559780610, -7250287740, -2206074398, 59250601986, -225063455922

Offset

0,2

Links

Table of n, a(n) for n=0..31.

Formula

G.f. A(x) satisfies A(x) = ( A(x^2)^2 + 4*x/(1-x) )^(1/2).

Crossrefs

Cf. A001511, A382334.

Cf. A223142, A382335.

Sequence in context: A275928 A221072 A339162 * A168272 A222448 A360309

Adjacent sequences: A382330 A382331 A382332 * A382334 A382335 A382336

Keyword

sign,easy

Author

Seiichi Manyama, Mar 22 2025

Status

approved