login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A160841 Expansion of (1+147*x+1230*x^2+1915*x^3+744*x^4+66*x^5+x^6)/(1-x)^7. 1
1, 154, 2287, 14725, 61147, 193546, 509293, 1172305, 2438317, 4684258, 8441731, 14434597, 23620663, 37237474, 56852209, 84415681, 122320441, 173462986, 241310071, 329969125, 444262771, 589807450, 773096149, 1001585233 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Source: the De Loera et al. article and the Haws website listed in A160747.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

FORMULA

a(n) = 1+3*n*(n+1)*(38*n^4+112*n^3+183*n^2+127*n+50)/20. - R. J. Mathar, Sep 17 2011

a(0)=1, a(1)=154, a(2)=2287, a(3)=14725, a(4)=61147, a(5)=193546, a(6)=509293, a(n)=7*a(n-1)-21*a(n-2)+35*a(n-3)-35*a(n-4)+21*a(n-5)- 7*a(n-6)+ a(n-7). - Harvey P. Dale, Feb 11 2015

MAPLE

seq(coeff(series((1+147*x+1230*x^2+1915*x^3+744*x^4+66*x^5+x^6)/(1-x)^7, x, n+1), x, n), n=0..25); # Muniru A Asiru, Apr 29 2018

MATHEMATICA

CoefficientList[Series[(1+147x+1230x^2+1915x^3+744x^4+66x^5+x^6)/(1-x)^7, {x, 0, 30}], x] (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {1, 154, 2287, 14725, 61147, 193546, 509293}, 30] (* Harvey P. Dale, Feb 11 2015 *)

PROG

(MAGMA) [1+3*n*(n+1)*(38*n^4+112*n^3+183*n^2+127*n+50)/20: n in [0..30]]; // Vincenzo Librandi, Sep 19 2011

(PARI) x='x+O('x^30); Vec((1+147*x+1230*x^2+1915*x^3+744*x^4+66*x^5 + x^6)/(1-x)^7) \\ G. C. Greubel, Apr 28 2018

CROSSREFS

Sequence in context: A159639 A160863 A160840 * A160853 A235099 A332421

Adjacent sequences:  A160838 A160839 A160840 * A160842 A160843 A160844

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Nov 18 2009

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 June 25 06:59 EDT 2021. Contains 345452 sequences. (Running on oeis4.)