OFFSET
0,2
COMMENTS
Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301697. - Ray Chandler, Aug 30 2023
LINKS
Ray Chandler, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (3,-4,4,-4,4,-3,1).
FORMULA
From Colin Barker, Apr 08 2018: (Start)
G.f.: (1 + 3*x + 2*x^2 + 4*x^3 + 2*x^4 + 3*x^5 + x^6) / ((1 - x)^3*(1 - x + x^2)*(1 + x + x^2)).
a(n) = 3*a(n-1) - 4*a(n-2) + 4*a(n-3) - 4*a(n-4) + 4*a(n-5) - 3*a(n-6) + a(n-7) for n>6. (End)
MATHEMATICA
LinearRecurrence[{3, -4, 4, -4, 4, -3, 1}, {1, 6, 16, 32, 54, 81, 113}, 100] (* Paolo Xausa, Jul 31 2024 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Mar 26 2018
STATUS
approved