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<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (14,-49,36).
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(Python)
def a(n): return 1 + 4**n + 9**n
print([a(n) for n in range(19)]) # Michael S. Branicky, Mar 14 2021
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a(n) = 1^n + 4^n + 9^n.
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). [From _Mohammad K. Azarian_, Dec 26 2008]
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 [From _. - _Vincenzo Librandi_, Jul 21 2010]
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<a href="/index/Rea#recLCCRec">Index entries for linear recurrences with constant coefficients</a>, signature (14,-49,36).