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!)
A097790 a(n)=5a(n-1)+C(n+3,3),n>0, a(0)=1. 2
1, 9, 55, 295, 1510, 7606, 38114, 190690, 953615, 4768295, 23841761, 119209169, 596046300, 2980232060, 14901160980, 74505805716, 372529029549, 1862645148885, 9313225745755, 46566128730315, 232830643653346 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Partial sums of A052244.
LINKS
FORMULA
G.f. : 1/((1-5x)(1-x)^4)); a(n)=5^(n+4)/256-(32n^3+312n^2+1012n+1107)/768; a(n)=sum{k=0..n, binomial(n+4, k+4)4^k }.
MATHEMATICA
nxt[{n_, a_}]:={n+1, 5a+Binomial[n+4, 3]}; NestList[nxt, {0, 1}, 20][[All, 2]] (* or *) LinearRecurrence[{9, -26, 34, -21, 5}, {1, 9, 55, 295, 1510}, 30] (* Harvey P. Dale, Sep 20 2022 *)
CROSSREFS
Sequence in context: A072844 A026857 A244650 * A356339 A362365 A183805
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Aug 24 2004
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 March 28 07:48 EDT 2024. Contains 371235 sequences. (Running on oeis4.)