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!)
A168125 a(n) = n^2*(n^7+1)/2. 1
0, 1, 258, 9846, 131080, 976575, 5038866, 20176828, 67108896, 193710285, 500000050, 1178973906, 2579890248, 5302249771, 10330523490, 19221679800, 34359738496, 59293938393, 99179645346, 161343849070, 256000000200, 397140023511, 603634609138, 900576330996 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

FORMULA

From Harvey P. Dale, Jan 31 2012: (Start)

a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10), where

a(0)=0, a(1)=1, a(2)=258, a(3)=9846, a(4)=131080, a(5)=976575, a(6)=5038866, a(7)=20176828, a(8)=67108896, a(9)=193710285. (End)

G.f.: x*(1 + 248*x+ 7311*x^2 + 44110*x^3 + 78095*x^4 + 44124*x^5 + 7297*x^6 + 254*x^7)/(1 - x)^10. - Ilya Gutkovskiy, Jul 14 2016

MATHEMATICA

Table[(n^2 (n^7+1))/2, {n, 0, 20}] (* or *) LinearRecurrence[ {10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {0, 1, 258, 9846, 131080, 976575, 5038866, 20176828, 67108896, 193710285}, 21] (* Harvey P. Dale, Jan 31 2012 *)

CoefficientList[Series[x  (1 + 248 x + 7311 x^2 + 44110 x^3 + 78095 x^4 + 44124 x^5 + 7297 x^6 + 254 x^7)/(1-x)^10, {x, 0, 33}], x] (* Vincenzo Librandi, Jul 14 2016 *)

PROG

(MAGMA) [n^2*(n^7+1)/2: n in [0..25]]; // Vincenzo Librandi, Jul 14 2016

CROSSREFS

Sequence in context: A271759 A228998 A219991 * A271038 A097734 A121915

Adjacent sequences:  A168122 A168123 A168124 * A168126 A168127 A168128

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Dec 11 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 18 02:34 EDT 2022. Contains 356204 sequences. (Running on oeis4.)