A164053 Partial sums of A162255.

3, 5, 11, 15, 27, 35, 59, 75, 123, 155, 251, 315, 507, 635, 1019, 1275, 2043, 2555, 4091, 5115, 8187, 10235, 16379, 20475, 32763, 40955, 65531, 81915, 131067, 163835, 262139, 327675, 524283, 655355, 1048571, 1310715, 2097147, 2621435, 4194299

Offset

1,1

Comments

Apparently a(n) = A094958(n+4)-5.

Links

G. C. Greubel, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (1, 2, -2).

Formula

a(n) = 2*a(n-2) + 5 for n > 2; a(1) = 3, a(2) = 5.

a(n) = (13 - 3*(-1)^n)*2^(1/4*(2*n -1 +(-1)^n))/2 - 5.

G.f.: x*(3+2*x)/(1-x-2*x^2+2*x^3).

a(1)=3, a(2)=5, a(3)=11, a(n)=a(n-1)+2*a(n-2)-2*a(n-3). - Harvey P. Dale, Aug 28 2012

Mathematica

Accumulate[LinearRecurrence[{0, 2}, {3, 2}, 50]] (* or *) LinearRecurrence[ {1, 2, -2}, {3, 5, 11}, 50] (* Harvey P. Dale, Aug 28 2012 *)

Prog

(Magma) T:=[ n le 2 select 4-n else 2*Self(n-2): n in [1..39] ]; [ n eq 1 select T[1] else Self(n-1)+T[n]: n in [1..#T]];
(PARI) x='x+O('x^50); Vec(x*(3+2*x)/(1-x-2*x^2+2*x^3)) \\ G. C. Greubel, Sep 09 2017

Crossrefs

Cf. A162255, A094958.

Sequence in context: A018667 A102751 A032673 * A200176 A092929 A138879

Adjacent sequences: A164050 A164051 A164052 * A164054 A164055 A164056

Keyword

nonn

Author

Klaus Brockhaus, Aug 08 2009

Status

approved