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!)
A170788 a(n) = n^9*(n^6 + 1)/2. 1
0, 1, 16640, 7184295, 537001984, 15259765625, 235097531136, 2373800931775, 17592253153280, 102945759757569, 500000500000000, 2088625263681671, 7703513367183360, 25592951809295065, 77784058109429504 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (16,-120,560,-1820,4368,-8008, 11440,-12870,11440,-8008,4368,-1820,560,-120,16,-1).

FORMULA

G.f.: (x + 16624*x^2 + 6918175*x^3 + 424049504*x^4 + 7520532701*x^5 + 51388594448*x^6 + 155693938947*x^7 + 223769083200*x^8 + 155693938947*x^9 + 51388594448*x^10 + 7520532701*x^11 + 424049504*x^12 + 6918175*x^13 + 16624*x^14 + x^15)/(1-x)^16. - G. C. Greubel, Dec 06 2017

a(n) = 16*a(n-1) - 120*a(n-2) + 560*a(n-3) - 1820*a(n-4) + 4368*a(n-5) - 8008*a(n-6) + 11440*a(n-7) - 12870*a(n-8) + 11440*a(n-9) - 8008*a(n-10) + 4368*a(n-11) - 1820*a(n-12) + 560*a(n-13) - 120*a(n-14) + 16*a(n-15) - a(n-16). - Wesley Ivan Hurt, Jul 29 2022

MATHEMATICA

Table[n^9*(n^6+1)/2, {n, 0, 30}] (* G. C. Greubel, Dec 06 2017 *)

PROG

(Magma) [n^9*(n^6+1)/2: n in [0..20]]; // Vincenzo Librandi, Aug 26 2011

(PARI) for(n=0, 30, print1(n^9*(n^6+1)/2, ", ")) \\ G. C. Greubel, Dec 06 2017

CROSSREFS

Sequence in context: A210272 A183657 A247693 * A057329 A349773 A232450

Adjacent sequences:  A170785 A170786 A170787 * A170789 A170790 A170791

KEYWORD

nonn,easy

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 September 29 12:57 EDT 2022. Contains 357090 sequences. (Running on oeis4.)