|
| |
|
|
A048467
|
|
a(n) = T(6,n), array T given by A047858.
|
|
1
| |
|
|
1, 8, 23, 55, 123, 267, 571, 1211, 2555, 5371, 11259, 23547, 49147, 102395, 212987, 442363, 917499, 1900539, 3932155, 8126459, 16777211, 34603003, 71303163, 146800635, 301989883, 620756987, 1275068411, 2617245691
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..3000
|
|
|
FORMULA
| G.f.: (-9*x^2+3*x+1)/((1-x)*(1-2*x)^2).
a(0)=1, a(1)=8, a(2)=23, a(n)=5*a(n-1)-8*a(n-2)+4*a(n-3). - Harvey P. Dale, Jul 07 2011
a(n) = 2^(n-1)*(n+12)-5. - Vincenzo Librandi, Sep 2011
|
|
|
MATHEMATICA
| LinearRecurrence[{5, -8, 4}, {1, 8, 23}, 30] (* or *) CoefficientList[ Series[ (-9x^2+3x+1)/((1-x)(1-2x)^2), {x, 0, 30}], x] (* From Harvey P. Dale, Jul 07 2011 *)
|
|
|
PROG
| (MAGMA) [2^(n-1)*(n+12)-5: n in [0..30]]; // Vincenzo Librandi, Sep 28 2011
|
|
|
CROSSREFS
| n-th difference of a(n), a(n-1), ..., a(0) is (7, 8, 9, ...).
Sequence in context: A033951 A175346 A027054 * A002765 A048770 A055273
Adjacent sequences: A048464 A048465 A048466 * A048468 A048469 A048470
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
|
| |
|
|
