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A165152 a(n) = (3*12^n - 8^n)/2. 2
1, 14, 184, 2336, 29056, 356864, 4347904, 52699136, 636583936, 7672561664, 92339175424, 1110217588736, 13339790934016, 160214930161664, 1923678673567744, 23092940175835136, 277185650854199296, 3326790760203812864, 39925992722073124864, 479147941461896462336 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Binomial transform of A165151. Sixth binomial transform of A016129. Tenth binomial transform of A056450.
LINKS
FORMULA
a(n) = 20*a(n-1) - 96*a(n-2) for n > 1; a(0) = 1, a(1) = 14.
G.f.: (1 - 6*x)/((1 - 8*x)*(1 - 12*x)).
E.g.f.: exp(8*x)*(3*exp(4*x) - 1)/2. - Stefano Spezia, Mar 30 2023
MAPLE
A165152:=n->(3*12^n - 8^n)/2; seq(A165152(n), n=0..17); # Wesley Ivan Hurt, Jan 29 2014
MATHEMATICA
Table[(3*12^n - 8^n)/2, {n, 0, 17}] (* Wesley Ivan Hurt, Jan 29 2014 *)
PROG
(Magma) [ (3*12^n-8^n)/2: n in [0..17] ];
CROSSREFS
Sequence in context: A181237 A091030 A179090 * A263384 A198703 A198622
KEYWORD
nonn,easy
AUTHOR
Klaus Brockhaus, Sep 15 2009
STATUS
approved

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Last modified February 26 10:23 EST 2024. Contains 370343 sequences. (Running on oeis4.)