|
|
A060459
|
|
a(n) = (n*(n+1))^3.
|
|
5
|
|
|
0, 8, 216, 1728, 8000, 27000, 74088, 175616, 373248, 729000, 1331000, 2299968, 3796416, 6028568, 9261000, 13824000, 20123648, 28652616, 40001688, 54872000, 74088000, 98611128, 129554216, 168196608, 216000000, 274625000, 345948408
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
G.f.: 8*x*(1 + 20*x + 48*x^2 + 20*x^3 + x^4)/(1-x)^7. - Colin Barker, Jan 29 2012
Sum_{n>=1} (-1)^(n+1)/a(n) = 3*zeta(3)/2 + 12*log(2) - 10. - Amiram Eldar, Jul 15 2020
|
|
EXAMPLE
|
(0)^3, (1+1)^3, (2+2+2)^3, (3+3+3+3)^3, (4+4+4+4+4)^3, (5+5+5+5+5+5)^3, ...
|
|
MAPLE
|
seq((n*(n+1))^3, n=0..66);
|
|
PROG
|
(PARI) { for (n=0, 1000, write("b060459.txt", n, " ", (n*(n + 1))^3); ) } \\ Harry J. Smith, Jul 05 2009
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|