login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A295726 a(n) = a(n-1) + 3*a(n-2) -2*a(n-3) - 2*a(n-4), where a(0) = 0, a(1) = -1, a(2) = 1, a(3) = 1. 1
0, -1, 1, 1, 6, 9, 23, 36, 75, 119, 226, 361, 651, 1044, 1823, 2931, 5010, 8069, 13591, 21916, 36531, 58959, 97538, 157521, 259155, 418724, 686071, 1108891, 1811346, 2928429, 4772543, 7717356, 12555435, 20305559, 32992066, 53363161, 86617371, 140111604 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

a(n)/a(n-1) -> (1 + sqrt(5))/2 = golden ratio (A001622), so that a( ) has the growth-rate of the Fibonacci numbers (A000045).

LINKS

Clark Kimberling, Table of n, a(n) for n = 0..2000

Index entries for linear recurrences with constant coefficients, signature (1, 3, -2, -2)

FORMULA

a(n) = a(n-1) + a(n-3) + a(n-4), where a(0) = 0, a(1) = -1, a(2) = 1, a(3) = 1.

G.f.: (-x + 2 x^2 + 3 x^3)/(1 - x - 3 x^2 + 2 x^3 + 2 x^4).

MATHEMATICA

LinearRecurrence[{1, 3, -2, -2}, {0, -1, 1, 1}, 100]

CROSSREFS

Cf. A001622, A000045, A005672.

Sequence in context: A033705 A033704 A121592 * A034718 A215528 A155577

Adjacent sequences:  A295723 A295724 A295725 * A295727 A295728 A295729

KEYWORD

easy,sign

AUTHOR

Clark Kimberling, Nov 29 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 12 18:43 EDT 2021. Contains 342930 sequences. (Running on oeis4.)