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A153263 A014217(n+3) - A014217(n). 2

%I

%S 3,5,9,13,23,35,59,93,153,245,399,643,1043,1685,2729,4413,7143,11555,

%T 18699,30253,48953,79205,128159,207363,335523,542885,878409,1421293,

%U 2299703,3720995,6020699,9741693,15762393,25504085,41266479,66770563

%N A014217(n+3) - A014217(n).

%C The least significant digits are a sequence of period length 4: 3,5,9,3.

%C One could extend A014217 using its recurrence to define A014217(-1)=-1. This would add a(-1)=3 here by definition, and the least significant digits would still follow the (same, wrapped) period of length 4: 3,3,5,9.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (0,2,1).

%F a(2n+2)=a(2n+1)+a(2n)+1. a(2n+3)=a(2n+2)+a(2n+1)-1.

%F a(n)=2*a(n-2)+a(n-3) = (-1)^n+2*A000032(n+1). G.f.: (3+5x+3x^2)/ ((1+x)(1-x-x^2)). [From _R. J. Mathar_, Feb 07 2009, Apr 18 2009]

%F a(n)+a(n+1) = A022112(n+2). - _R. J. Mathar_, Feb 25 2013

%K nonn,easy

%O 0,1

%A _Paul Curtz_, Dec 22 2008

%E More terms from _R. J. Mathar_, Feb 07 2009

%E Edited by _R. J. Mathar_, Apr 18 2009

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Last modified February 23 18:13 EST 2019. Contains 320437 sequences. (Running on oeis4.)