|
| |
|
|
A082309
|
|
E.g.f.: (1+x)exp(5x)cosh(x).
|
|
1
|
|
|
|
1, 6, 36, 218, 1336, 8280, 51776, 325792, 2057856, 13023104, 82456576, 521826816, 3298727936, 20822038528, 131210919936, 825373859840, 5182772248576, 32487861092352, 203308891897856, 1270289732337664, 7924975155019776
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,2
|
|
|
COMMENTS
|
Binomial transform of A082307 a(n)=(A081106(n)+A079028(n))/2
|
|
|
LINKS
|
Table of n, a(n) for n=0..20.
|
|
|
FORMULA
|
a(n)=((n+4)*4^(n-1)+(n+6)*6^(n-1))/2 G.f.: ((1-5x)/(1-6x)^2+(1-3x)/(1-4x)^2)/2 E.g.f. (1+x)exp(5x)cosh(x)
a(0)=1, a(1)=6, a(2)=36, a(3)=218, a(n)=20*a(n-1)-148*a(n-2)+480*a(n-3)- 576*a(n-4). - Harvey P. Dale, Aug 27 2012
|
|
|
MATHEMATICA
|
With[{nn=30}, CoefficientList[Series[(1+x)Exp[5x]Cosh[x], {x, 0, nn}], x]Range[0, nn]!] (* or *) LinearRecurrence[{20, -148, 480, -576}, {1, 6, 36, 218}, 30] (* Harvey P. Dale, Aug 27 2012 *)
|
|
|
CROSSREFS
|
Cf. A082308, A082307, A082306, A082305.
Sequence in context: A196869 A172489 A033142 * A004319 A129324 A180218
Adjacent sequences: A082306 A082307 A082308 * A082310 A082311 A082312
|
|
|
KEYWORD
|
easy,nonn
|
|
|
AUTHOR
|
Paul Barry, Apr 09 2003
|
|
|
EXTENSIONS
|
Definition clarified by Harvey P. Dale, Aug 27 2012
|
|
|
STATUS
|
approved
|
| |
|
|
