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A036549
a(n) = T(8,n), array T given by A048471.
2
1, 257, 1025, 3329, 10241, 30977, 93185, 279809, 839681, 2519297, 7558145, 22674689, 68024321, 204073217, 612219905, 1836659969, 5509980161, 16529940737, 49589822465, 148769467649, 446308403201, 1338925209857, 4016775629825, 12050326889729, 36150980669441
OFFSET
0,2
COMMENTS
n-th difference of a(n), a(n-1), ..., a(0) is 2^(n+7) for n=1, 2, 3, ...
FORMULA
From Vincenzo Librandi, Nov 11 2011: (Start)
a(n) = 128*3^n - 127.
a(n) = 3*a(n-1) + 254.
a(n) = 4*a(n-1) - 3*a(n-2).
G.f.: (1+253*x)/((1-x)*(1-3*x)). (End)
E.g.f.: exp(x)*(128*exp(2*x) - 127). - Elmo R. Oliveira, Aug 29 2024
PROG
(Magma) [128*3^n-127: n in [0..30]]; // Vincenzo Librandi, Nov 11 2011
CROSSREFS
Cf. A048471.
Sequence in context: A105131 A202372 A363715 * A352983 A031710 A253419
KEYWORD
nonn,easy
STATUS
approved