|
| |
|
|
A084903
|
|
Binomial transform of positive cubes.
|
|
1
|
|
|
|
1, 9, 44, 170, 576, 1792, 5248, 14688, 39680, 104192, 267264, 672256, 1662976, 4055040, 9764864, 23257088, 54853632, 128253952, 297533440, 685375488, 1568669696, 3569352704, 8078229504, 18192793600, 40785412096, 91049951232
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,2
|
|
|
LINKS
|
Table of n, a(n) for n=0..25.
|
|
|
FORMULA
|
a(n) = 2^(n-3)(n^3+9n^2+18n+8); a(n) = sum{k=0..n}, C(n, k)(1+k)^3.
O.g.f.: (x-1)*(2*x^2-2*x-1)/(-1+2*x)^4. - R. J. Mathar, Apr 02 2008
a(n) = A058649(n+1)/n. [From Gary Detlefs, Nov 26, 2011]
|
|
|
CROSSREFS
|
Cf. A000578, A058645.
Sequence in context: A036599 A059825 A074631 * A034558 A144109 A099867
Adjacent sequences: A084900 A084901 A084902 * A084904 A084905 A084906
|
|
|
KEYWORD
|
easy,nonn
|
|
|
AUTHOR
|
Paul Barry, Jun 13 2003
|
|
|
STATUS
|
approved
|
| |
|
|
