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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A133356 a(n)=2a(n-1)+16a(n-2) for n>1, a(0)=1, a(1)=1 . 7
1, 1, 18, 52, 392, 1616, 9504, 44864, 241792, 1201408, 6271488, 31765504, 163874816, 835997696, 4293992448, 21963948032, 112631775232, 576686718976, 2955481841664, 15137951186944, 77563611840512, 397334442672128 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Binomial transform of A001026 (powers of 17), with interpolated zeros .

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (2,16).

FORMULA

G.f.: (1-x)/(1-2x-16x^2).

a(n)=Sum_{k, 0<=k<=n}A098158(n,k)*17^(n-k). - Philippe Deléham, Dec 26 2007

a(n)=(1/2)*[1-sqrt(17)]^n+(1/2)*[1+sqrt(17)]^n, n>=0 - Paolo P. Lava, Jun 10 2008

If p[1]=1, and p[i]=17, (i>1), and if A is Hessenberg matrix of order n defined by: A[i,j]=p[j-i+1], (i<=j), A[i,j]=-1, (i=j+1), and A[i,j]=0 otherwise. Then, for n>=1, a(n)=det A. [From Milan Janjic, Apr 29 2010]

MATHEMATICA

LinearRecurrence[{2, 16}, {1, 1}, 30] (* Harvey P. Dale, Dec 12 2012 *)

PROG

(PARI) Vec((1-x)/(1-2*x-16*x^2)+O(x^99)) \\ Charles R Greathouse IV, Jan 12 2012

CROSSREFS

Sequence in context: A299071 A124711 A126372 * A052495 A052902 A217591

Adjacent sequences:  A133353 A133354 A133355 * A133357 A133358 A133359

KEYWORD

nonn,easy

AUTHOR

Philippe Deléham, Dec 21 2007

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 December 6 08:53 EST 2019. Contains 329788 sequences. (Running on oeis4.)