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A131846 Expansion of series reversion of x*(1-6*x)/(1-x). 4
1, 5, 55, 755, 11605, 191105, 3296755, 58810055, 1075986505, 20079780605, 380733295855, 7314056109755, 142049912523805, 2784519380488505, 55019843803653355, 1094695713838691855, 21912997682690751505, 440999873506064578805, 8917597017732200569255 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
The Hankel transform of this sequence is 30^C(n+1,2).
LINKS
FORMULA
a(n) = Sum_{k=0..n} A086810(n,k)*5^k .
Recurrence: n*a(n) = 11*(2*n-3)*a(n-1) - (n-3)*a(n-2). - Vaclav Kotesovec, Aug 20 2013
a(n) ~ sqrt(11*sqrt(30)-60) * (11+2*sqrt(30))^n/(12*sqrt(Pi)*n^(3/2)). - Vaclav Kotesovec, Aug 20 2013
From Ilya Gutkovskiy, Apr 20 2017: (Start)
G.f.: (1 + x - sqrt(1 - 22*x + x^2))/12.
G.f.: x/(1 - 5*x/(1 - 6*x/(1 - 5*x/(1 - 6*x/(1 - 5*x/(1 - ...)))))), a continued fraction. (End)
MATHEMATICA
Rest[CoefficientList[InverseSeries[Series[x*(1-6*x)/(1-x), {x, 0, 20}], x], x]] (* Vaclav Kotesovec, Aug 20 2013 *)
PROG
(PARI) Vec(serreverse(x*(1-6*x)/(1-x)+O(x^66))) /* Joerg Arndt, Feb 06 2013 */
CROSSREFS
Sequence in context: A358955 A292805 A112019 * A144577 A234508 A132865
KEYWORD
nonn
AUTHOR
Philippe Deléham, Oct 29 2007
EXTENSIONS
More terms from Philippe Deléham, Feb 06 2013
Offset corrected, Joerg Arndt, Feb 15 2013
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)