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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A228569 Binomial transform of A006497. 2
2, 5, 19, 80, 343, 1475, 6346, 27305, 117487, 505520, 2175139, 9359135, 40270258, 173273885, 745558651, 3207971600, 13803182047, 59391995435, 255550431034, 1099576168865, 4731229551223, 20357419249520, 87593407593931, 376894780221095, 1621693678323682 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

P. Bhadouria, D. Jhala, B. Singh, Binomial Transforms of the k-Lucas Sequences and its Properties, The Journal of Mathematics and Computer Science (JMCS), Volume 8, Issue 1, Pages 81-92; sequence B_3.

Index entries for linear recurrences with constant coefficients, signature (5,-3).

FORMULA

G.f.: ( 2-5*x ) / ( 1-5*x+3*x^2 ).

a(n) = 2*A116415(n)-5*A116315(n-1) for n>0.

MATHEMATICA

LinearRecurrence[{5, -3}, {2, 5}, 30] (* Harvey P. Dale, Sep 09 2017 *)

CROSSREFS

Sequence in context: A277969 A058131 A222055 * A204328 A288911 A138911

Adjacent sequences:  A228566 A228567 A228568 * A228570 A228571 A228572

KEYWORD

easy,nonn

AUTHOR

R. J. Mathar, Nov 10 2013

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 November 24 06:53 EST 2020. Contains 338607 sequences. (Running on oeis4.)