A160413 a(n) = A160411(n+1)/4.

2, 1, 7, 2, 13, 3, 19, 4, 25, 5, 31, 6, 37, 7, 43, 8, 49, 9, 55, 10, 61, 11, 67, 12, 73, 13, 79, 14, 85, 15, 91, 16, 97, 17, 103, 18, 109, 19, 115, 20, 121, 21, 127, 22, 133, 23, 139, 24, 145, 25, 151, 26, 157, 27, 163, 28, 169, 29, 175, 30, 181, 31, 187, 32, 193

Offset

1,1

Links

Table of n, a(n) for n=1..65.

Index entries for linear recurrences with constant coefficients, signature (0,2,0,-1).

Formula

G.f.: x*(x^4 + 3*x^2 + x+2) / ((x-1)^2*(x+1)^2). - Colin Barker, Mar 04 2013

From Colin Barker, Apr 06 2013: (Start)

a(n) = -1 + (-1)^n - (1/4)*(-7 + 5*(-1)^n)*n for n > 1.

a(n) = 2*a(n-2) - a(n-4) for n > 5. (End)

Mathematica

LinearRecurrence[{0, 2, 0, -1}, {2, 1, 7, 2, 13}, 100] (* Amiram Eldar, Feb 02 2024 *)

Crossrefs

Cf. A152978, A160117 A160411, A160417.

Sequence in context: A239155 A097411 A134929 * A295734 A197328 A352247

Adjacent sequences: A160410 A160411 A160412 * A160414 A160415 A160416

Keyword

nonn,easy

Author

Omar E. Pol, Jun 13 2009

Extensions

More terms from Colin Barker, Apr 06 2013

More terms from Amiram Eldar, Feb 02 2024

Status

approved