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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A081584 Fourth row of Pascal-(1,2,1) array A081577. 3
1, 13, 79, 307, 886, 2086, 4258, 7834, 13327, 21331, 32521, 47653, 67564, 93172, 125476, 165556, 214573, 273769, 344467, 428071, 526066, 640018, 771574, 922462, 1094491, 1289551, 1509613, 1756729, 2033032, 2340736, 2682136, 3059608 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Equals binomial transform of [1, 12, 54, 108, 81, 0, 0, 0,...] where (1, 12, 54, 108, 81) = row 4 of triangle A013610. - Gary W. Adamson, Jul 19 2008

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

FORMULA

a(n) = (8+6*n+81*n^2-18*n^3+27*n^4)/8.

G.f.:(1+2*x)^4/(1-x)^5.

MATHEMATICA

CoefficientList[Series[(1 + 2 x)^4 / (1 - x)^5, {x, 0, 40}], x] (* Vincenzo Librandi, Aug 09 2013 *)

PROG

(MAGMA) [(8+6*n+81*n^2-18*n^3+27*n^4)/8: n in [0..40]]; // Vincenzo Librandi, Aug 09 2013

CROSSREFS

Cf. A081583, A013610.

Sequence in context: A041318 A142056 A173831 * A125323 A075584 A126481

Adjacent sequences:  A081581 A081582 A081583 * A081585 A081586 A081587

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Mar 23 2003

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 August 18 01:19 EDT 2019. Contains 326059 sequences. (Running on oeis4.)