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A108733 Expansion of (1+18*x)^(1/3). 4
1, 6, -36, 360, -4320, 57024, -798336, 11632896, -174493440, 2675566080, -41738830848, 660232415232, -10563718643712, 170644685783040, -2779070597038080, 45576757791424512, -752016503558504448, 12474626706088132608, -207910445101468876800, 3479764291698268569600 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..799

FORMULA

G.f. (1-18*x)^(1/3) = 1 + 6*x/(G(0)-6*x) where G(k)= k*(1-18*x) + 1+ 6*x + 6*x*(k+1)*(3*k+2)/G(k+1); (continued fraction). - Sergei N. Gladkovskii, Jul 06 2012

a(n) ~ -(-1)^n * 2^n * 3^(2*n-1) / (Gamma(2/3) * n^(4/3)). - Vaclav Kotesovec, Jun 16 2018

CROSSREFS

Sequence in context: A052559 A053335 A222925 * A229530 A265474 A277474

Adjacent sequences:  A108730 A108731 A108732 * A108734 A108735 A108736

KEYWORD

sign,changed

AUTHOR

N. J. A. Sloane, Jun 22 2005

STATUS

approved

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Last modified June 24 10:14 EDT 2018. Contains 311825 sequences. (Running on oeis4.)