A081195 a(n) = 10*a(n-1)-24*a(n-2) for n>1, a(0)=1, a(1)=25.

1, 25, 226, 1660, 11176, 71920, 450976, 2783680, 17013376, 103325440, 624933376, 3769523200, 22696830976, 136499752960, 820273586176, 4926741790720, 29580851838976, 177566715412480, 1065726709989376, 6395665929994240

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (10,-24).

Formula

G.f.: (1+15*x)/((1-4*x)*(1-6*x)).

a(n) = 21*6^n/2 - 19*4^n/2.

Mathematica

CoefficientList[Series[(1 + 15 x)/((1 - 4 x) (1 - 6 x)), {x, 0, 300}], x] (* _Vincenzo Librandi_, Aug 07 2013 *)
LinearRecurrence[{10, -24}, {1, 25}, 30] (* _Harvey P. Dale_, Apr 23 2020 *)

Prog

(Magma) [21*6^n/2-19*4^n/2: n in [0..25]]; // _Vincenzo Librandi_, Aug 07 2013

Crossrefs

Sequence in context: A276240 A053919 A053927 * A221930 A160222 A088890

Adjacent sequences: A081192 A081193 A081194 * A081196 A081197 A081198

Keyword

nonn,easy

Author

_Paul Barry_, Mar 11 2003

Status

approved