|
|
A027604
|
|
a(n) = n^3 + (n+1)^3 + (n+2)^3 + (n+3)^3 + (n+4)^3.
|
|
6
|
|
|
100, 225, 440, 775, 1260, 1925, 2800, 3915, 5300, 6985, 9000, 11375, 14140, 17325, 20960, 25075, 29700, 34865, 40600, 46935, 53900, 61525, 69840, 78875, 88660, 99225, 110600, 122815, 135900, 149885, 164800, 180675, 197540
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - 1*a(n-4) for n >= 4.
G.f.: 5*(20 - 35*x + 28*x^2 - 7*x^3)/(1-x)^4.
|
|
MATHEMATICA
|
Table[100+90n+30n^2+5n^3, {n, 0, 40}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {100, 225, 440, 775}, 40] (* Harvey P. Dale, Dec 19 2022 *)
|
|
PROG
|
(Sage) [n^3+(n+1)^3+(n+2)^3+(n+3)^3+(n+4)^3 for n in range(0, 35)] # Zerinvary Lajos, Jul 03 2008
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|