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A172160 a(0)=1. a(n)= 2^n*(5-n)/4, n>0. 1
1, 2, 3, 4, 4, 0, -16, -64, -192, -512, -1280, -3072, -7168, -16384, -36864, -81920, -180224, -393216, -851968, -1835008, -3932160, -8388608, -17825792, -37748736, -79691776, -167772160, -352321536, -738197504, -1543503872, -3221225472, -6710886400 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The inverse binomial transform is 1,1,0,0,-1,-1,-2,-2,-3,-3 = essentially A168050 or the negative of A004526.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (4,-4)

FORMULA

a(n+1)-2*a(n) = -A131577(n).

a(n) + A001787(n-1) = A000079(n+1).

a(n+5) = -A059165(n) = 4*A159964(n+1).

G.f.: -(2*x+x^2-1)/(2*x-1)^2 . [R. J. Mathar, Feb 11 2010]

a(n) = 4*a(n-1)-4*a(n-2), n>2.

CROSSREFS

Sequence in context: A111362 A134581 A099587 * A171170 A256913 A160386

Adjacent sequences:  A172157 A172158 A172159 * A172161 A172162 A172163

KEYWORD

sign,easy

AUTHOR

Paul Curtz, Jan 27 2010

EXTENSIONS

Definition replaced by closed form - R. J. Mathar, Feb 11 2010

STATUS

approved

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Last modified September 22 14:37 EDT 2020. Contains 337291 sequences. (Running on oeis4.)