A110241 J(n)^3+J(n+1)^3, where J(n) = the Jacobsthal number A001045(n).

1, 2, 28, 152, 1456, 10592, 88768, 693632, 5614336, 44652032, 358263808, 2861914112, 22912086016, 183229571072, 1466104987648, 11727766126592, 93826423914496, 750594211315712, 6004822409740288, 48038304399491072

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (6,24,-64).

Formula

G.f.: (1-4x-8x^2)/(1-6x-24x^2+64x^3); a(n)=6a(n-1)+24a(n-2)-64a(n-3); a(n)=2^n/3+8^n/3+(-4)^n/3.

Mathematica

LinearRecurrence[{6, 24, -64}, {1, 2, 28}, 20] (* Harvey P. Dale, Jun 02 2019 *)

Crossrefs

Sequence in context: A213829 A164834 A174707 * A338426 A347602 A006332

Adjacent sequences: A110238 A110239 A110240 * A110242 A110243 A110244

Keyword

easy,nonn

Author

Paul Barry, Jul 17 2005

Status

approved