A256873 a(n) = 2^(n-1)*(2^n+5).

3, 7, 18, 52, 168, 592, 2208, 8512, 33408, 132352, 526848, 2102272, 8398848, 33574912, 134258688, 536952832, 2147647488, 8590262272, 34360393728, 137440264192, 549758435328, 2199028498432, 8796103507968, 35184393060352, 140737530298368, 562950037307392

Offset: 0

Author

M. F. Hasler, Apr 24 2015

Keywords

• nonn
• easy

Comments

For k in A059242, a(k) is in A141548, i.e., A256873 o A059242 is a subsequence of A141548.

Links

• Colin Barker, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (6,-8).

Programs

Magma

[2^(n-1)*(2^n+5): n in [0..30]]; // Vincenzo Librandi, Apr 24 2015

Mathematica

Table[2^(n - 1) (2^n + 5), {n, 0, 30}] (* Vincenzo Librandi, Apr 24 2015 *)
LinearRecurrence[{6,-8},{3,7},30] (* Harvey P. Dale, Aug 21 2020 *)

PARI

A256873(n)=2^(n-1)*(2^n+5)

PARI

Vec((3-11*x)/((1-4*x)*(1-2*x)) + O(x^100)) \\ Colin Barker, Apr 26 2015

Formula

G.f.: (3-11*x)/((1-4*x)*(1-2*x)). - Vincenzo Librandi, Apr 24 2015

a(n) = 6*a(n-1)-8*a(n-2). - Colin Barker, Apr 26 2015