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A175005
Expansion of x/(1 - 4*x + 3*x^2 - 2*x^3).
3
0, 1, 4, 13, 42, 137, 448, 1465, 4790, 15661, 51204, 167413, 547362, 1789617, 5851208, 19130705, 62548430, 204504021, 668632204, 2186113613, 7147565882, 23369187097, 76406277968, 249812682345, 816770269670, 2670455587581
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OFFSET
0,3
COMMENTS
The limiting ratio a(n+1)/a(n) is 3.269530842081143....
LINKS
Table of n, a(n) for n=0..25.
Index entries for linear recurrences with constant coefficients
, signature (4,-3,2).
FORMULA
a(n) = 4*a(n-1) - 3*a(n-2) + 2*a(n-3), starting 0, 1, 4.
PROG
(PARI) Vec(x/(1-4*x+3*x^2-2*x^3)+O(x^99)) \\
Charles R Greathouse IV
, Sep 26 2012
CROSSREFS
Cf.
A000045
,
A174631
,
A000931
,
A111285
.
Sequence in context:
A277667
A274952
A010900
*
A390824
A070031
A082989
Adjacent sequences:
A175002
A175003
A175004
*
A175006
A175007
A175008
KEYWORD
nonn
,
easy
AUTHOR
Roger L. Bagula
, Dec 02 2010
STATUS
approved