|
|
A168527
|
|
a(n) = n^6*(n^2 + 1)/2.
|
|
1
|
|
|
0, 1, 160, 3645, 34816, 203125, 863136, 2941225, 8519680, 21789081, 50500000, 108065221, 216483840, 410278765, 741659296, 1287140625, 2155872256, 3499947505, 5526986400, 8515304461, 12832000000, 18954312741, 27494626720, 39229510585, 55133208576
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
G.f.: (x + 151*x^2 + 2241*x^3 + 7687*x^4 + 7687*x^5 + 2241*x^6 + 151*x^7 + x^8)/(1 - x)^9. - G. C. Greubel, Jul 25 2016
|
|
MATHEMATICA
|
Table[n^6*(n^2 + 1)/2, {n, 0, 25}] (* G. C. Greubel, Jul 25 2016 *)
LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {0, 1, 160, 3645, 34816, 203125, 863136, 2941225, 8519680}, 30] (* Harvey P. Dale, May 10 2018 *)
|
|
PROG
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|