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A196305
a(n) = 15*2^n - 1.
5
14, 29, 59, 119, 239, 479, 959, 1919, 3839, 7679, 15359, 30719, 61439, 122879, 245759, 491519, 983039, 1966079, 3932159, 7864319, 15728639, 31457279, 62914559, 125829119, 251658239, 503316479, 1006632959, 2013265919, 4026531839, 8053063679, 16106127359, 32212254719, 64424509439
OFFSET
0,1
COMMENTS
Primes of this sequence are in A196940.
FORMULA
a(n) = 15*2^n - 1.
a(n) = A033484(n+1) + A083705(n).
From Philippe Deléham, Feb 17 2014: (Start)
a(n) = 2*a(n-1) + 1.
a(n) = 3*a(n-2) - 2*a(n-2).
a(n) = A110286(n) - 1. (End)
From Elmo R. Oliveira, Sep 14 2024: (Start)
G.f.: (14 - 13*x)/((1 - x)*(1 - 2*x)).
E.g.f.: exp(x)*(15*exp(x) - 1). (End)
PROG
(Magma) [15*2^n -1 : n in [0..50]];
(PARI) a(n)=15<<n-1 \\ Charles R Greathouse IV, Oct 08 2011
CROSSREFS
Cf. A033484, A083705, A110286 (first differences), A196940.
Sequence in context: A124681 A195145 A263119 * A041386 A041388 A042617
KEYWORD
nonn,easy
AUTHOR
Brad Clardy, Oct 07 2011
STATUS
approved