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A158916 Inverse binomial transform of A153130. 3
1, 1, 1, 1, -8, 19, -35, 64, -125, 253, -512, 1027, -2051, 4096, -8189, 16381, -32768, 65539, -131075, 262144, -524285, 1048573, -2097152, 4194307, -8388611, 16777216, -33554429, 67108861, -134217728, 268435459, -536870915, 1073741824, -2147483645 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

a(n)= A154589(n)+ A099838(n+4).

LINKS

Table of n, a(n) for n=0..32.

Index entries for linear recurrences with constant coefficients, signature (-3, -3, -2).

FORMULA

a(n)= -3a(n-1)-3a(n-2)-2a(n-3), n > 3.

G.f.: (4*x+7*x^2+9*x^3+1)/((2*x+1)*(1+x+x^2)). [R. J. Mathar, May 17 2009]

a(n)=[I*sqrt(3)]*{[ -(1/2)-(1/2)*I*sqrt(3)]^n-[ -(1/2)+(1/2)*I*sqrt(3)]^n}+(-2)^n, with n>=0 [From Paolo P. Lava, Jul 31 2009]

MATHEMATICA

LinearRecurrence[{-3, -3, -2}, {1, 1, 1, 1}, 40] (* Harvey P. Dale, Feb 04 2019 *)

CROSSREFS

Sequence in context: A230098 A262713 A135027 * A045557 A289877 A089111

Adjacent sequences: A158913 A158914 A158915 * A158917 A158918 A158919

KEYWORD

sign

AUTHOR

Paul Curtz, Mar 30 2009

EXTENSIONS

Edited and extended by R. J. Mathar, May 17 2009

STATUS

approved

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Last modified December 8 06:47 EST 2022. Contains 358673 sequences. (Running on oeis4.)