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A074515 a(n) = 1^n + 4^n + 9^n. 2
3, 14, 98, 794, 6818, 60074, 535538, 4799354, 43112258, 387682634, 3487832978, 31385253914, 282446313698, 2541932937194, 22877060890418, 205892205836474, 1853024483819138, 16677198879535754, 150094704016475858 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
From Mohammad K. Azarian, Dec 26 2008: (Start)
G.f.: 1/(1-x) + 1/(1-4*x) + 1/(1-9*x).
E.g.f.: e^x + e^(4*x) + e^(9*x). (End)
a(n) = 13*a(n-1) - 36*a(n-2) + 24 with a(0)=3, a(1)=14. - Vincenzo Librandi, Jul 21 2010
MATHEMATICA
Table[1^n + 4^n + 9^n, {n, 0, 20}]
LinearRecurrence[{14, -49, 36}, {3, 14, 98}, 30] (* Harvey P. Dale, Aug 06 2013 *)
PROG
(Python)
def a(n): return 1 + 4**n + 9**n
print([a(n) for n in range(19)]) # Michael S. Branicky, Mar 14 2021
CROSSREFS
Cf. A052539.
Sequence in context: A367383 A007470 A306986 * A336947 A038051 A132008
KEYWORD
easy,nonn
AUTHOR
Robert G. Wilson v, Aug 23 2002
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)