A190968 a(n) = 4*a(n-1) - 10*a(n-2), with a(0)=0, a(1)=1.

0, 1, 4, 6, -16, -124, -336, -104, 2944, 12816, 21824, -40864, -381696, -1118144, -655616, 8558976, 40792064, 77578496, -97606656, -1166211584, -3688779776, -3093003264, 24515784704, 128993171456, 270814838784, -206672359424, -3534837825536, -12072627707904

Offset: 0

Author

Vladimir Joseph Stephan Orlovsky, May 24 2011

Keywords

• sign

Links

• Michael De Vlieger, Table of n, a(n) for n = 0..2000
• Beata Bajorska-Harapińska, Barbara Smoleń, and Roman Wituła, On Quaternion Equivalents for Quasi-Fibonacci Numbers, Shortly Quaternaccis, Advances in Applied Clifford Algebras (2019) Vol. 29, 54.
• Index entries for linear recurrences with constant coefficients, signature (4,-10).

Crossrefs

Cf. A190958 (index to generalized Fibonacci sequences).

Programs

Mathematica

LinearRecurrence[{4,-10}, {0,1}, 50]

Formula

G.f.: x/(1 - 4*x + 10*x^2). - Philippe Deléham, Oct 12 2011