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A289291 Coefficients in expansion of E_2^(1/2). 11
1, -12, -108, -1344, -22044, -409752, -8201088, -172293504, -3746915388, -83625518604, -1904468689368, -44079484775616, -1033852665619200, -24518163456010392, -586936016770722048, -14164129272396668544, -344209494372831399036 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..702

FORMULA

G.f.: Product_{n>=1} (1-q^n)^(A288968(n)/2).

a(n) ~ c / (r^n * n^(3/2)), where r = A211342 = 0.03727681029645165815098078... is the root of the equation Sum_{k>=1} A000203(k) * r^k = 1/24 and c = -0.297340792206337929158904153045493466135450465337136... - Vaclav Kotesovec, Jul 02 2017

CROSSREFS

E_k^(1/2): this sequence (k=2), A289292 (k=4), A289293 (k=6), A004009 (k=8), A289294 (k=10), A289295 (k=14).

Cf. A006352 (E_2), A288968.

Sequence in context: A155608 A228013 A225779 * A138432 A011999 A128877

Adjacent sequences:  A289288 A289289 A289290 * A289292 A289293 A289294

KEYWORD

sign

AUTHOR

Seiichi Manyama, Jul 02 2017

STATUS

approved

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Last modified January 19 13:56 EST 2022. Contains 350466 sequences. (Running on oeis4.)