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A201163 Expansion of g.f. 1+x+(1+3*x+x^2)/(1+x)^3. 8
2, 1, -2, 5, -9, 14, -20, 27, -35, 44, -54, 65, -77, 90, -104, 119, -135, 152, -170, 189, -209, 230, -252, 275, -299, 324, -350, 377, -405, 434, -464, 495, -527, 560, -594, 629, -665, 702, -740, 779, -819, 860, -902, 945, -989, 1034, -1080, 1127, -1175, 1224, -1274, 1325, -1377, 1430, -1484, 1539, -1595, 1652, -1710, 1769, -1829, 1890, -1952, 2015 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Tian-Xiao He and Renzo Sprugnoli, Sequence characterization of Riordan arrays, Discrete Math. 309 (2009), no. 12, 3962-3974.

Index entries for linear recurrences with constant coefficients, signature (-3,-3,-1).

FORMULA

a(n) = (-1)^(n+1)*A000096(n-1), n>1. - R. J. Mathar, Nov 28 2011

MATHEMATICA

Join[{2, 1}, LinearRecurrence[{-3, -3, -1}, {-2, 5, -9}, 70]] (* Vladimir Joseph Stephan Orlovsky, Feb 22 2012 *)

CoefficientList[Series[1+x+(1+3*x+x^2)/(1+x)^3, {x, 0, 70}], x] (* Harvey P. Dale, Aug 01 2020 *)

CROSSREFS

Sequence in context: A129394 A214899 A199599 * A049901 A117715 A330962

Adjacent sequences:  A201160 A201161 A201162 * A201164 A201165 A201166

KEYWORD

sign,easy

AUTHOR

N. J. A. Sloane, Nov 27 2011

STATUS

approved

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Last modified September 17 06:16 EDT 2021. Contains 347478 sequences. (Running on oeis4.)