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A242329
a(n) = 5^n + 4.
5
5, 9, 29, 129, 629, 3129, 15629, 78129, 390629, 1953129, 9765629, 48828129, 244140629, 1220703129, 6103515629, 30517578129, 152587890629, 762939453129, 3814697265629, 19073486328129, 95367431640629, 476837158203129
OFFSET
0,1
COMMENTS
Subsequence of A226810. [Bruno Berselli, May 13 2014]
FORMULA
G.f.: (5-21*x)/(((1-x)*(1-5*x)).
a(n) = 6*a(n-1) - 5*a(n-2) for n > 1.
From Elmo R. Oliveira, Dec 06 2023: (Start)
a(n) = A000351(n)+4 = A034474(n)+3 = A242328(n)+2.
a(n) = 5*a(n-1) - 16 with a(0) = 5.
E.g.f.: exp(5*x) + 4*exp(x). (End)
MATHEMATICA
Table[5^n + 4, {n, 0, 30}]
PROG
(Magma) [5^n+4: n in [0..30]];
CROSSREFS
Cf. A000351, A003463, A034474, A132079, A178676, A226810, A242328, A253208 (similar sequence).
Sequence in context: A352008 A270595 A303988 * A343420 A214902 A049602
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, May 13 2014
STATUS
approved