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A083300
a(n) = (4*7^n + (-3)^n)/5.
4
1, 5, 41, 269, 1937, 13397, 94265, 658397, 4613153, 32278949, 225992009, 1581825965, 11073136049, 77510889461, 542579414873, 3798046338173, 26586353065025, 186104385361733, 1302730955812457, 9119115915846221
OFFSET
0,2
COMMENTS
Binomial transform of A083299.
FORMULA
a(n) = (4*7^n + (-3)^n)/5.
G.f.: (1+x)/((1-7*x)*(1+3*x)).
E.g.f.: (4*exp(7*x) + exp(-3*x))/5.
PROG
(Magma) [(4*7^n+(-3)^n)/5: n in [0..25]]; // Vincenzo Librandi, Jun 01 2011
(PARI) a(n)=(4*7^n+(-3)^n)/5 \\ Charles R Greathouse IV, Oct 07 2015
CROSSREFS
Cf. A083301.
Sequence in context: A356198 A198725 A190638 * A308247 A223009 A155455
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Apr 24 2003
STATUS
approved