A110210 a(n+3) = 6*a(n) - 5*a(n+2), a(0) = -1, a(1) = 1, a(2) = -5.

-1, 1, -5, 19, -89, 415, -1961, 9271, -43865, 207559, -982169, 4647655, -21992921, 104071591, -492472025, 2330402599, -11027583449, 52183085095, -246933009881, 1168499548711, -5529399232985, 26165398105639, -123815993235929, 585903570781735, -2772525465274841

Offset

0,3

Links

Table of n, a(n) for n=0..24.

Index entries for linear recurrences with constant coefficients, signature (-5,0,6).

Formula

Superseeker finds: a(n+1) - a(n) = ((-1)^n)*A094433(n+2); a(n+2) - a(n) = ((-1)^(n+1))*A086405(n+1).

G.f.: (4*x+1)/(6*x^3-5*x-1). - Harvey P. Dale, Nov 09 2014

Maple

seriestolist(series((1+4*x)/((x-1)*(6*x^2+6*x+1)), x=0, 25));

Mathematica

LinearRecurrence[{-5, 0, 6}, {-1, 1, -5}, 30] (* or *) CoefficientList[ Series[ (1+4*x)/(-1-5*x+6*x^3), {x, 0, 30}], x] (* Harvey P. Dale, Nov 09 2014 *)

Crossrefs

Cf. A086405, A094433, A110211, A110212, A110213.

Sequence in context: A301702 A296162 A144036 * A244899 A147139 A330445

Adjacent sequences: A110207 A110208 A110209 * A110211 A110212 A110213

Keyword

easy,sign

Author

Creighton Dement, Jul 16 2005

Status

approved