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A175162 a(n) = 16*(2^n + 1). 5
32, 48, 80, 144, 272, 528, 1040, 2064, 4112, 8208, 16400, 32784, 65552, 131088, 262160, 524304, 1048592, 2097168, 4194320, 8388624, 16777232, 33554448, 67108880, 134217744, 268435472 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
a(n) = A173786(n+4, 4).
a(n) = 3*a(n-1) - 2*a(n-2), a(0)=32, a(1)=48. - Vincenzo Librandi, Dec 28 2010
From G. C. Greubel, Jul 08 2021: (Start)
G.f.: 16*(2 - 3*x)/(1-x)*(1-2*x)).
E.g.f.: 16*(exp(2*x)_+ exp(x)). (End)
MATHEMATICA
16*(2^Range[0, 30] +1) (* or *) LinearRecurrence[{3, -2}, {32, 48}, 30] (* Harvey P. Dale, Jun 08 2017 *)
PROG
(Magma) I:=[32, 48]; [n le 2 select I[n] else 3*Self(n-1) - 2*Self(n-2): n in [1..41]]; // G. C. Greubel, Jul 08 2021
(Sage) [16*(2^n +1) for n in (0..40)] # G. C. Greubel, Jul 08 2021
CROSSREFS
Sequences of the form m*(2^n + 1): A000051 (m=1), A052548 (m=2), A140504 (m=4), A153973 (m=6), A231643 (m=5), A175161 (m=8), this sequence (m=16), A175163 (m=32).
Cf. A173786.
Sequence in context: A014614 A046371 A348824 * A114437 A039379 A043202
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Feb 28 2010
STATUS
approved

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Last modified March 19 01:57 EDT 2024. Contains 370952 sequences. (Running on oeis4.)