A021014 - OEIS

A021014

a(n)=a(n-1)+a(n-2)-a(n-4)+a(n-5).

7, 11, 17, 26, 40, 62, 96, 149, 231, 358, 555, 860, 1333, 2066, 3202, 4963, 7692, 11922, 18478, 28639, 44388, 68797, 106629, 165265, 256145, 397001, 615314, 953679, 1478113, 2290936, 3550736, 5503307, 8529609, 13220093, 20489902

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OFFSET

0,1

COMMENTS

Agrees with Pisot sequence P(7,11) only for n <= 20.

LINKS

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

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

Index entries for Pisot sequences

FORMULA

G.f.: ( -7-4*x+x^2+2*x^3-4*x^4 ) / ( -1+x+x^2-x^4+x^5 ). - R. J. Mathar, Feb 13 2016

MATHEMATICA

LinearRecurrence[{1, 1, 0, -1, 1}, {7, 11, 17, 26, 40}, 40] (* Harvey P. Dale, Jul 12 2022 *)

CROSSREFS

Cf. A021013.

Sequence in context: A088981 A257666 A224868 * A021013 A156105 A062574

Adjacent sequences: A021011 A021012 A021013 * A021015 A021016 A021017

KEYWORD

nonn,easy

AUTHOR

R. K. Guy

STATUS

approved