|
|
A316459
|
|
Expansion of 30*x*(1 + x) / (1 - x)^4.
|
|
4
|
|
|
30, 150, 420, 900, 1650, 2730, 4200, 6120, 8550, 11550, 15180, 19500, 24570, 30450, 37200, 44880, 53550, 63270, 74100, 86100, 99330, 113850, 129720, 147000, 165750, 186030, 207900, 231420, 256650, 283650, 312480, 343200, 375870, 410550, 447300, 486180
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Seems to be the third column of A316349.
|
|
LINKS
|
|
|
FORMULA
|
G.f.: 30*x*(1 + x) / (1 - x)^4.
a(n) = 10*n^3 + 15*n^2 + 5*n.
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>4.
|
|
PROG
|
(PARI) Vec(30*x*(1 + x) / (1 - x)^4 + O(x^40))
(PARI) a(n) = 10*n^3 + 15*n^2 + 5*n
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|