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A133034 First differences of Padovan sequence A000931. 10

%I #36 Mar 25 2019 04:32:54

%S -1,0,1,-1,1,0,0,1,0,1,1,1,2,2,3,4,5,7,9,12,16,21,28,37,49,65,86,114,

%T 151,200,265,351,465,616,816,1081,1432,1897,2513,3329,4410,5842,7739,

%U 10252,13581,17991,23833,31572,41824,55405,73396

%N First differences of Padovan sequence A000931.

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

%F a(n+4) = A000931(n).

%F G.f.: ( 1-2*x^2 ) / ( -1+x^2+x^3 ). - _R. J. Mathar_, Sep 11 2011

%F a(n) = a(n-2) + a(n-3) with a(0) = -1, a(1) = 0, a(2) = 1. - _Taras Goy_, Mar 24 2019

%t LinearRecurrence[{0,1,1},{-1,0,1},60] (* _Harvey P. Dale_, Dec 14 2013 *)

%Y The following are basically all variants of the same sequence: A000931, A078027, A096231, A124745, A133034, A134816, A164001, A182097, A228361 and probably A020720. However, each one has its own special features and deserves its own entry.

%Y Cf. A002026.

%K easy,sign

%O 0,13

%A _Omar E. Pol_, Nov 05 2007

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Last modified May 4 01:57 EDT 2024. Contains 372225 sequences. (Running on oeis4.)