This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A133034 #42 Jan 10 2025 08:43:33
%S A133034 -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 A133034 151,200,265,351,465,616,816,1081,1432,1897,2513,3329,4410,5842,7739,
%U A133034 10252,13581,17991,23833,31572,41824,55405,73396
%N A133034 First differences of Padovan sequence A000931.
%H A133034 Yuksel Soykan, Vedat Irge, and Erkan Tasdemir, <a href="https://doi.org/10.9734/ajpas/2024/v26i12691">A Comprehensive Study of K-Circulant Matrices Derived from Generalized Padovan Numbers</a>, Asian Journal of Probability and Statistics 26 (12):152-70, (2024). See p. 154.
%H A133034 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,1).
%F A133034 a(n+4) = A000931(n).
%F A133034 G.f.: ( 1-2*x^2 ) / ( -1+x^2+x^3 ). - _R. J. Mathar_, Sep 11 2011
%F A133034 a(n) = a(n-2) + a(n-3) with a(0) = -1, a(1) = 0, a(2) = 1. - _Taras Goy_, Mar 24 2019
%t A133034 LinearRecurrence[{0,1,1},{-1,0,1},60] (* _Harvey P. Dale_, Dec 14 2013 *)
%Y A133034 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 A133034 Cf. A002026.
%K A133034 easy,sign
%O A133034 0,13
%A A133034 _Omar E. Pol_, Nov 05 2007