A220089 a(n) = 2^n - 243.
-242, -241, -239, -235, -227, -211, -179, -115, 13, 269, 781, 1805, 3853, 7949, 16141, 32525, 65293, 130829, 261901, 524045, 1048333, 2096909, 4194061, 8388365, 16776973, 33554189, 67108621, 134217485, 268435213, 536870669, 1073741581, 2147483405, 4294967053
Offset: 0
Keywords
Links
- Index entries for linear recurrences with constant coefficients, signature (3,-2).
Programs
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Mathematica
Table[2^n - 243, {n, 0, 40}] (* T. D. Noe, Dec 04 2012 *)
Formula
From Chai Wah Wu, Jan 17 2020: (Start)
a(n) = 3*a(n-1) - 2*a(n-2) for n > 1.
G.f.: (485*x - 242)/((x - 1)*(2*x - 1)). (End)
From Elmo R. Oliveira, Nov 11 2023: (Start)
a(n) = 2*a(n-1) + 243 with a(0) = -242.
E.g.f.: exp(2*x) - 243*exp(x). (End)