OFFSET
0,2
COMMENTS
n-th difference of a(n), a(n-1), ..., a(0) is (64, 81, 100, 121, ...).
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..2000
Index entries for linear recurrences with constant coefficients, signature (7,-18,20,-8).
FORMULA
a(n) = (n^2+29*n+196) * 2^(n-2) - 48. - Ralf Stephan, Feb 05 2004
a(n) = 7*a(n-1)-18*a(n-2)+20*a(n-3)-8*a(n-4). - Colin Barker, Feb 25 2015
G.f.: (216*x^3-227*x^2+58*x+1) / ((x-1)*(2*x-1)^3). - Colin Barker, Feb 25 2015
PROG
(Magma) [(n^2+29*n+196) * 2^(n-2) - 48: n in [0..30]]; // Vincenzo Librandi, Sep 26 2011
(PARI) Vec((216*x^3-227*x^2+58*x+1)/((x-1)*(2*x-1)^3) + O(x^100)) \\ Colin Barker, Feb 25 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved