|
| |
|
|
A164938
|
|
(n^5-n)/10, which is always an integer.
|
|
1
|
|
|
|
0, 3, 24, 102, 312, 777, 1680, 3276, 5904, 9999, 16104, 24882, 37128, 53781, 75936, 104856, 141984, 188955, 247608, 319998, 408408, 515361, 643632, 796260, 976560, 1188135, 1434888, 1721034, 2051112, 2429997, 2862912, 3355440, 3913536
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
LINKS
|
Table of n, a(n) for n=1..33.
|
|
|
FORMULA
|
a(n)=(n^5-n)/10
a(1)=0, a(2)=3, a(3)=24, a(4)=102, a(5)=312, a(6)=777, a(n)=6*a(n-1)- 15*a(n-2)+20*a(n-3)-15*a(n-4)+6*a(n-5)-a(n-6) [From Harvey P. Dale, Jan 14 2012]
G.f.: (3*(x^3+2*x^2+x))/(x-1)^6 [From Harvey P. Dale, Jan 14 2012]
|
|
|
MATHEMATICA
|
Table[(n^5 - n)/10, {n, 1, 50}] [From Stefan Steinerberger, Sep 03 2009]
LinearRecurrence[{6, -15, 20, -15, 6, -1}, {0, 3, 24, 102, 312, 777}, 50] (* From Harvey P. Dale, Jan 14 2012 *)
|
|
|
CROSSREFS
|
Sequence in context: A092780 A004282 A216725 * A050545 A139031 A065692
Adjacent sequences: A164935 A164936 A164937 * A164939 A164940 A164941
|
|
|
KEYWORD
|
easy,nonn
|
|
|
AUTHOR
|
Bill Welsh (bill.welsh.75(AT)gmail.com), Aug 31 2009
|
|
|
EXTENSIONS
|
More terms from Stefan Steinerberger, Sep 03 2009
|
|
|
STATUS
|
approved
|
| |
|
|
