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!)
A239095 a(n) = (n^7 - 21*n^3 + 20*n)/210. 1
0, 0, 0, 8, 72, 360, 1312, 3888, 9936, 22704, 47520, 92664, 170456, 298584, 501696, 813280, 1277856, 1953504, 2914752, 4255848, 6094440, 8575688, 11876832, 16212240, 21838960, 29062800, 38244960, 49809240, 64249848, 82139832, 104140160, 131009472, 163614528, 202941376, 250107264, 306373320, 373158024, 452051496, 544830624, 653475056, 780184080 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

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

C. P. Neuman and D. I. Schonbach, Evaluation of sums of convolved powers using Bernoulli numbers, SIAM Rev. 19 (1977), no. 1, 90--99. MR0428678 (55 #1698). See Table 3.

Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

FORMULA

G.f.: 8*x^3*(1 + x + x^2)/(1 - x)^8. - Ilya Gutkovskiy, Feb 24 2017

MATHEMATICA

Table[(n^7 - 21 n^3 + 20 n)/210, {n, 0, 50}] (* Vincenzo Librandi, Mar 24 2014 *)

LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 0, 0, 8, 72, 360, 1312, 3888}, 50] (* Harvey P. Dale, Apr 26 2018 *)

PROG

(MAGMA) [(n^7-21*n^3+20*n)/210: n in [0..40]]; // Vincenzo Librandi, Mar 24 2014

CROSSREFS

Cf. A239094, A239096.

Sequence in context: A104453 A254371 A143945 * A189954 A271028 A180288

Adjacent sequences:  A239092 A239093 A239094 * A239096 A239097 A239098

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mar 23 2014

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 September 27 19:34 EDT 2021. Contains 347694 sequences. (Running on oeis4.)