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!)
A096885 Related to diagonals of Pascal's triangle. 0

%I #14 Jan 25 2020 01:37:49

%S 1,100,10001,1000200,100030001,10004000300,1000500060001,

%T 100060010000400,10007001500100001,1000800210020000500,

%U 100090028003500150001,10010003600560035000600

%N Related to diagonals of Pascal's triangle.

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (100,1).

%F a(n) = Sum_{k=0..floor(n/2)} binomial(n-k, k)*100^(n-2k).

%F From _Philippe Deléham_, Nov 23 2008: (Start)

%F a(n) = 100*a(n-1) + a(n-2), n > 1; a(0)=1, a(1)=100.

%F G.f.: 1/(1-100*x-x^2). (End)

%Y Cf. A096884, A007318, A000045.

%K easy,nonn

%O 0,2

%A _Paul Barry_, Jul 14 2004

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 April 19 08:36 EDT 2024. Contains 371782 sequences. (Running on oeis4.)