A161909 Inverse binomial transform of A181586.

0, 0, 1, -3, 7, -13, 23, -41, 79, -161, 335, -689, 1391, -2769, 5487, -10897, 21743, -43537, 87279, -174865, 349935, -699665, 1398511, -2795793, 5590767, -11182353, 22367983, -44740881, 89485039, -178966801, 357920495, -715821329, 1431629551, -2863272209, 5726596847

Offset

0,4

Comments

A181586(n) and successive differences:

0, 0, 1, 0, 1, 2,

0, 1, -1, 1, 1, 3,

1, -2, 2, 0, 2, 0,

-3, 4, -2, 2, -2, 6,

7, -6, 4, -4, 8, -4,

-13, 10, -8, 12, -12, 12.

First column is a(n).

Links

Table of n, a(n) for n=0..34.

Index entries for linear recurrences with constant coefficients, signature (-3,-2,2,4).

Formula

a(n+2)=( (2*a(n)+A077950(n)) signed)

a(n)-a(n-1) = (-1)^n*A000749(n+2).

G.f. -x^2 / ( (x-1)*(2*x+1)*(2*x^2+2*x+1) ). - R. J. Mathar, Feb 06 2011

Crossrefs

Sequence in context: A317783 A061761 A081494 * A281131 A173168 A048462

Adjacent sequences: A161906 A161907 A161908 * A161910 A161911 A161912

Keyword

sign,easy

Author

Paul Curtz, Jan 31 2011

Status

approved