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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A091701 Row sums of triangle A091700. 1
1, 3, 14, 63, 287, 1306, 5945, 27061, 123180, 560707, 2552301, 11617904, 52883925, 240724103, 1095760078, 4987826867, 22704255571, 103348258626, 470434387405, 2141385987489, 9747446339348, 44369726286423, 201968037801353 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..22.

Index entries for linear recurrences with constant coefficients, signature (4, 3, -2, -1).

FORMULA

G.f.: (1-x-x^2)/(1-4x-3x^2+2x^3+x^4).

a(0)=1, a(1)=3, a(2)=14, a(3)=63, a(n)=4*a(n-1)+3*a(n-2)-2*a(n-3)-a(n-4). - Harvey P. Dale, Nov 26 2013

MATHEMATICA

CoefficientList[Series[(1-x-x^2)/(1-4x-3x^2+2x^3+x^4), {x, 0, 30}], x] (* or *) LinearRecurrence[{4, 3, -2, -1}, {1, 3, 14, 63}, 30] (* Harvey P. Dale, Nov 26 2013 *)

CROSSREFS

Sequence in context: A100295 A291025 A320499 * A242637 A151237 A151238

Adjacent sequences:  A091698 A091699 A091700 * A091702 A091703 A091704

KEYWORD

nonn

AUTHOR

Christian G. Bower, Jan 29 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 20 03:09 EDT 2019. Contains 323412 sequences. (Running on oeis4.)