OFFSET
0,2
COMMENTS
n-th difference of a(n), a(n-1), ..., a(0) is (49, 64, 81, 100, ...).
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+9)*(n+16) * 2^(n-2) - 35. - Ralf Stephan, Feb 05 2004
From Colin Barker, Feb 25 2015: (Start)
a(n) = 7*a(n-1) - 18*a(n-2) + 20*a(n-3) - 8*a(n-4).
G.f.: (160*x^3-169*x^2+43*x+1)/((x-1)*(2*x-1)^3). (End)
E.g.f.: exp(x)*(exp(x)*(36 + 13*x + x^2) - 35). - Elmo R. Oliveira, Oct 29 2025
PROG
(Magma) [(n+9)*(n+16) * 2^(n-2) - 35: n in [0..30]]; // Vincenzo Librandi, Sep 26 2011
(PARI) Vec((160*x^3-169*x^2+43*x+1)/((x-1)*(2*x-1)^3) + O(x^100)) \\ Colin Barker, Feb 25 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved