login
A083330
a(n) = (3*4^n - 2*3^n + 2^n)/2.
1
1, 4, 17, 73, 311, 1309, 5447, 22453, 91871, 373789, 1514327, 6115333, 24636431, 99073069, 397878407, 1596280213, 6399436991, 25640729149, 102691925687, 411154861093, 1645781181551, 6586610462029, 26356900104167
OFFSET
0,2
COMMENTS
Binomial transform of A053156.
FORMULA
a(n) = (3*4^n - 2*3^n + 2^n)/2.
G.f.: (1-5x+7x^2)/(2(1-2x)(1-3x)(1-4x)).
E.g.f.: (3*exp(4x) - 2*exp(3x) + exp(2x))/2.
MATHEMATICA
Table[(3 4^n-2 3^n+2^n)/2, {n, 0, 30}] (* Harvey P. Dale, Mar 14 2011 *)
CROSSREFS
Cf. A083331.
Sequence in context: A362908 A085732 A289159 * A255632 A255814 A095940
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Apr 27 2003
STATUS
approved