|
| |
|
|
A074509
|
|
1^n + 3^n + 7^n.
|
|
0
| |
|
|
3, 11, 59, 371, 2483, 17051, 118379, 825731, 5771363, 40373291, 282534299, 1977503891, 13841818643, 96890604731, 678227855819, 4747575858851, 33232973616323, 232630643127371, 1628413985330939, 11398896347634611
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
FORMULA
| G.f.: 1/(1-x)+1/(1-3*x)+1/(1-7*x). E.g.f.: e^x+e^(3*x)+e^(7*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Dec 26 2008]
a(n)=10*a(n-1)-21*a(n-2)+12 with a(0)=3, a(1)=11 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jul 21 2010]
|
|
|
MATHEMATICA
| Table[1^n + 3^n + 7^n, {n, 0, 20}]
LinearRecurrence[{11, -31, 21}, {3, 11, 59}, 31] (* From Harvey P. Dale, Apr 23 2011 *)
|
|
|
CROSSREFS
| Cf. A001550, A001576, A034513, A001579, A074501 - A074580.
Sequence in context: A156560 A028342 A137982 * A112368 A152796 A007807
Adjacent sequences: A074506 A074507 A074508 * A074510 A074511 A074512
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 23 2002
|
| |
|
|
