A086652 a(n) = A000225(n+3)-A052955(n).

6, 13, 28, 58, 120, 244, 496, 1000, 2016, 4048, 8128, 16288, 32640, 65344, 130816, 261760, 523776, 1047808, 2096128, 4192768, 8386560, 16774144, 33550336, 67102720, 134209536, 268423168, 536854528, 1073717248, 2147450880

Offset

0,1

Links

Table of n, a(n) for n=0..28.

Index entries for linear recurrences with constant coefficients, signature (2,2,-4).

Formula

a(2n) = A006516(n+2); a(2n+1) = A086221(n+1).

G.f.: ( 6+x-10*x^2 ) / ( (2*x-1)*(2*x^2-1) ). - R. J. Mathar, Sep 15 2012

a(n) = 2^(n+3)-((5-(-1)^n)/2)*2^((2*n-1+(-1)^n)/4). - Luce ETIENNE, Sep 23 2014

Maple

f:=n->2^(n+3)-((5-(-1)^n)/2)*2^((2*n-1+(-1)^n)/4);

Crossrefs

Cf. A000225, A052955, A055010, A086221.

Sequence in context: A086224 A116913 A016071 * A159694 A145976 A101622

Adjacent sequences: A086649 A086650 A086651 * A086653 A086654 A086655

Keyword

nonn,easy

Author

Marco Matosic, Jul 27 2003

Extensions

Edited and extended by David Wasserman, Feb 17 2005

Status

approved