A192306 1-sequence of reduction of (2n) by x^2 -> x+1.

0, 4, 10, 26, 56, 116, 228, 436, 814, 1494, 2704, 4840, 8584, 15108, 26418, 45938, 79496, 136988, 235180, 402420, 686550, 1168174, 1982880, 3358416, 5676816, 9578116, 16133338, 27132746, 45565784, 76419524, 128006004, 214167220, 357935614

Offset

1,2

Comments

See A192232 for definition of "k-sequence of reduction of [sequence] by [substitution]".

Links

Table of n, a(n) for n=1..33.

Formula

a(n) = 2*A122491(n+1).

G.f.: 2*x*(2-x)/((1-x)*(1-x-x^2)^2). [Colin Barker, Feb 11 2012]

Mathematica

(See A192305.)

Crossrefs

Cf. A192232, A192305, A122491.

Sequence in context: A307415 A322060 A022812 * A276432 A308817 A000293

Adjacent sequences: A192303 A192304 A192305 * A192307 A192308 A192309

Keyword

nonn,easy

Author

Clark Kimberling, Jun 27 2011

Status

approved