login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A048513 a(n) = T(8,n), array T given by A048505. 3
1, 82, 263, 665, 1553, 3505, 7777, 17089, 37313, 81089, 175553, 378817, 815041, 1748929, 3743681, 7995329, 17039297, 36241345, 76939201, 163053505, 344981441, 728760257, 1537212353, 3238002625, 6811549633, 14310965185 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

n-th difference of a(n), a(n-1), ..., a(0) is (8^2, 9^2, 10^2, ...).

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..2000

Index entries for linear recurrences with constant coefficients, signature (7,-18,20,-8).

FORMULA

a(n) = (n^2+33*n+256) * 2^(n-2) - 63. - Ralf Stephan, Feb 05 2004

a(n) = 7*a(n-1)-18*a(n-2)+20*a(n-3)-8*a(n-4). - Colin Barker, Feb 25 2015

G.f.: (280*x^3-293*x^2+75*x+1) / ((x-1)*(2*x-1)^3). Colin Barker, Feb 25 2015

PROG

(MAGMA) [(n^2+33*n+256) * 2^(n-2) - 63: n in [0..30]]; // Vincenzo Librandi, Sep 26 2011

(PARI) Vec((280*x^3-293*x^2+75*x+1)/((x-1)*(2*x-1)^3) + O(x^100)) \\ Colin Barker, Feb 25 2015

CROSSREFS

Sequence in context: A306133 A317268 A258739 * A227704 A248405 A116341

Adjacent sequences:  A048510 A048511 A048512 * A048514 A048515 A048516

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 21 08:31 EDT 2022. Contains 353898 sequences. (Running on oeis4.)