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A165150
a(n) = (3*10^n - 6^n)/2.
3
1, 12, 132, 1392, 14352, 146112, 1476672, 14860032, 149160192, 1494961152, 14969766912, 149818601472, 1498911608832, 14993469652992, 149960817917952, 1499764907507712, 14998589445046272, 149991536670277632, 1499949220021665792, 14999695320129994752, 149998171920779968512
OFFSET
0,2
COMMENTS
Binomial transform of A165149. Inverse binomial transform of A165151.
FORMULA
a(n) = 16*a(n-1) - 60*a(n-2) for n > 1; a(0) = 1, a(1) = 12.
G.f.: (1 - 4*x)/((1 - 6*x)*(1 - 10*x)).
E.g.f.: exp(6*x)*(3*exp(4*x) - 1)/2. - Stefano Spezia, Mar 21 2023
PROG
(Magma) [ (3*10^n-6^n)/2: n in [0..17] ];
CROSSREFS
Sequence in context: A162767 A003495 A324947 * A002921 A199941 A001336
KEYWORD
nonn,easy
AUTHOR
Klaus Brockhaus, Sep 15 2009
STATUS
approved