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A128587 Row sums of A128586. 4
1, 1, 1, -1, 3, -5, 9, -15, 25, -41, 67, -109, 177, -287, 465, -753, 1219, -1973, 3193, -5167, 8361, -13529, 21891, -35421, 57313, -92735, 150049, -242785, 392835, -635621, 1028457, -1664079, 2692537, -4356617, 7049155, -11405773, 18454929 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Binomial transform of A128587 = A128588: (1, 2, 4, 6, 10, 16, 26,...)

LINKS

Table of n, a(n) for n=1..37.

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

FORMULA

Row sums of triangle A128586, inverse binomial transform of A128588

a(n) = -2*a(n-1)+a(n-3)=(-1)^n-(-1)^n*A118658(n-1). G.f.: -x*(1+3*x+3*x^2)/((1+x)*(x^2-x-1). [From R. J. Mathar, Jun 03 2009]

a(n+3) = (-1)^n * A001595(n) for all n>=0. - M. F. Hasler and [From Franklin T. Adams-Watters, Sep 30 2009]

EXAMPLE

a(5) = 3 = ( -3, 8, 0, -7, 5).

CROSSREFS

Cf. A128586, A128588.

This is a signed version of A001595. [From Franklin T. Adams-Watters, Sep 30 2009]

Sequence in context: A053523 A053522 A053521 * A001595 A092369 A061969

Adjacent sequences:  A128584 A128585 A128586 * A128588 A128589 A128590

KEYWORD

sign

AUTHOR

Gary W. Adamson, Mar 11 2007

EXTENSIONS

More terms from R. J. Mathar, Jun 03 2009

Removed duplicate of a formula - R. J. Mathar, Oct 23 2009

STATUS

approved

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Last modified June 24 15:07 EDT 2017. Contains 288697 sequences.