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A109576 E.g.f.: x/(1+3x-4x^3)=x/[1-T(3,x)], where T(3,x) is a Chebyshev polynomial. 0
0, 1, -6, 54, -552, 6840, -97200, 1577520, -28667520, 578067840, -12798777600, 308836281600, -8065907942400, 226719600307200, -6824229456844800, 219010610827008000, -7465397891567616000, 269363867734241280000, -10256545055212904448000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

"Bernoulli numbers" for x/[1-T(3,x)].

LINKS

Table of n, a(n) for n=0..18.

MAPLE

G:=x/(1+3*x-4*x^3): Gser:=series(G, x=0, 23): 0, seq(n!*coeff(Gser, x^n), n=1..20); # yields the signed sequence

MATHEMATICA

g[x_] = x/(-1 + ChebyshevT[3, x]) h[x_, n_] = Dt[g[x], {x, n}] a[x_] = Table[h[x, n], {n, 0, 50}]; b = a[0]

CROSSREFS

Sequence in context: A092472 A228413 A098658 * A241843 A201352 A186375

Adjacent sequences:  A109573 A109574 A109575 * A109577 A109578 A109579

KEYWORD

sign

AUTHOR

Roger L. Bagula, Jun 28 2005

STATUS

approved

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Last modified August 11 00:32 EDT 2020. Contains 336403 sequences. (Running on oeis4.)