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A137470 Inverse binomial transform of 1, 2, 2, 4, 10, 20, ... = A100088. 6
1, 1, -1, 3, -1, -1, 7, -9, 7, 7, -25, 39, -25, -25, 103, -153, 103, 103, -409, 615, -409, -409, 1639, -2457, 1639, 1639, -6553, 9831, -6553, -6553, 26215, -39321, 26215, 26215, -104857, 157287, -104857, -104857, 419431 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..38.

Index entries for linear recurrences with constant coefficients, signature (-1,0,2)

FORMULA

a(n)=[3+(1-2i)(i-1)^n+(1+2i)(-1-i)^n]/5 where i=sqrt(-1). - R. J. Mathar, Apr 25 2008

O.g.f.: -(1+2x)/((1+2x+2x^2)(-1+x)). - R. J. Mathar, Apr 25 2008

a(n+1)-a(n)=A090132(n+1). - R. J. Mathar, Apr 25 2008

G.f.: Q(0)*(1+2*x)/(2- 2*x), where Q(k) = 1 + 1/(1 - x*(4*k+2 +2*x)/(x*(4*k+4 +2*x) - 1/Q(k+1) )); (continued fraction). - Sergei N. Gladkovskii, Jan 01 2014

CROSSREFS

Sequence in context: A259471 A220555 A075440 * A112492 A210574 A049290

Adjacent sequences:  A137467 A137468 A137469 * A137471 A137472 A137473

KEYWORD

sign,easy

AUTHOR

Paul Curtz, Apr 20 2008

EXTENSIONS

More terms from R. J. Mathar, Apr 25 2008

STATUS

approved

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Last modified October 17 21:37 EDT 2019. Contains 328134 sequences. (Running on oeis4.)