|
|
A168124
|
|
a(n) = n^2*(n^6+1)/2.
|
|
1
|
|
|
0, 1, 130, 3285, 32776, 195325, 839826, 2882425, 8388640, 21523401, 50000050, 107179501, 214990920, 407865445, 737894626, 1281445425, 2147483776, 3487878865, 5509980450, 8491781701, 12800000200, 18911429901, 27437937010, 39155492905, 55037657376
(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 (9,-36,84,-126,126,-84,36,-9,1).
|
|
FORMULA
|
O.g.f.: x*(1 + x)*(1 + 120*x + 2031*x^2 + 5776*x^3 + 2031*x^4 + 120*x^5 + x^6)/(1 - x)^9. - Bruno Berselli, Jul 14 2016
E.g.f.: x*(2 + 128*x + 966*x^2 + 1701*x^3 + 1050*x^4 + 266*x^5 + 28*x^6 + x^7)*exp(x)/2. - Bruno Berselli, Jul 14 2016
|
|
MATHEMATICA
|
Table[n^2*(n^6 + 1)/2, {n, 0, 50}] (* G. C. Greubel, Jul 13 2016 *)
|
|
PROG
|
(MAGMA) [n^2*(n^6+1)/2: n in [0..25]]; // Vincenzo Librandi, Jul 14 2016
|
|
CROSSREFS
|
Subsequence of A027441 and A057590.
Sequence in context: A084641 A271758 A228997 * A224169 A223860 A223983
Adjacent sequences: A168121 A168122 A168123 * A168125 A168126 A168127
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
N. J. A. Sloane, Dec 11 2009
|
|
STATUS
|
approved
|
|
|
|