login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A084859 Binomial transform of Cullen numbers A002064. 2
1, 4, 16, 62, 232, 842, 2980, 10334, 35248, 118610, 394684, 1301126, 4255624, 13825658, 44657428, 143521838, 459230560, 1463719586, 4649308012, 14722502870, 46491507256, 146447041994, 460259735236, 1443537130622 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..23.

Index entries for linear recurrences with constant coefficients, signature (8,-21,18).

FORMULA

a(n)=2^n+2n*3^(n-1); a(n)=sum{k=0..n, C(n, k)(1+k*2^k) }.

O.g.f.: (1-4x+5x^2)/[(1-2x)(-1+3x)^2]. - R. J. Mathar, Apr 02 2008

a(0)=1, a(1)=4, a(2)=16, a(n)=8*a(n-1)-21*a(n-2)+18*a(n-3). - Harvey P. Dale, Mar 31 2015

MATHEMATICA

LinearRecurrence[{8, -21, 18}, {1, 4, 16}, 30] (* Harvey P. Dale, Mar 31 2015 *)

CROSSREFS

Cf. A004277.

Sequence in context: A283409 A192468 A276042 * A081666 A250346 A085781

Adjacent sequences:  A084856 A084857 A084858 * A084860 A084861 A084862

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jun 12 2003

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 October 17 14:47 EDT 2019. Contains 328114 sequences. (Running on oeis4.)