|
| |
|
|
A052460
|
|
3-magic series constant.
|
|
2
|
|
|
|
1, 50, 675, 4624, 21125, 73926, 214375, 540800, 1225449, 2550250, 4952651, 9082800, 15873325, 26622974, 43095375, 67634176, 103295825, 154001250, 224707699, 321602000, 452316501, 626168950, 854427575, 1150602624
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
LINKS
|
Table of n, a(n) for n=1..24.
Eric Weisstein's World of Mathematics, Magic Constant.
Index to sequences with linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).
|
|
|
FORMULA
|
n^3/4 * (n^2 + 1)^2.
G.f. x*(1+42*x+303*x^2+568*x^3+303*x^4+42*x^5+x^6)/(x-1)^8 .
|
|
|
CROSSREFS
|
Cf. A052459, A052461.
Sequence in context: A187669 A160336 A156965 * A224168 A223859 A223982
Adjacent sequences: A052457 A052458 A052459 * A052461 A052462 A052463
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
Eric W. Weisstein
|
|
|
STATUS
|
approved
|
| |
|
|
