|
Search: id:A164110
|
|
|
| A164110 |
|
a(n) = 12*a(n-1)-34*a(n-2) for n > 1; a(0) = 5, a(1) = 36. |
|
+0
3
|
|
| 5, 36, 262, 1920, 14132, 104304, 771160, 5707584, 42271568, 313200960, 2321178208, 17205305856, 127543611200, 945542935296, 7010032442752, 51971929512960, 385322051101952, 2856819009782784, 21180878379927040
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
Binomial transform of A164038. Sixth binomial transform of A164095.
|
|
FORMULA
|
a(n) = ((5+3*sqrt(2))*(6+sqrt(2))^n+(5-3*sqrt(2))*(6-sqrt(2))^n)/2.
G.f.: (5-24*x)/(1-12*x+34*x^2).
|
|
PROGRAM
|
(MAGMA) [ n le 2 select 31*n-26 else 12*Self(n-1)-34*Self(n-2): n in [1..19] ];
|
|
CROSSREFS
|
Cf. A164038, A164095.
Sequence in context: A067376 A098305 A055270 this_sequence A052203 A027331 A091161
Adjacent sequences: A164107 A164108 A164109 this_sequence A164111 A164112 A164113
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 10 2009
|
|
|
Search completed in 0.002 seconds
|
