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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.

A372898 Numbers k that divide the k-th Padovan number.

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%I A372898 #8 May 17 2024 01:45:58
%S A372898 1,2,4,16,25,27,59,69,101,167,173,211,223,271,307,317,347,387,422,449,
%T A372898 463,593,599,607,634,691,694,719,809,821,829,844,853,877,883,898,926,
%U A372898 991,997,1097,1117,1151,1163,1181,1197,1198,1231,1319,1369,1388,1451,1453,1481
%N A372898 Numbers k that divide the k-th Padovan number.
%C A372898 Numbers k such that k | A000931(k).
%H A372898 Amiram Eldar, <a href="/A372898/b372898.txt">Table of n, a(n) for n = 1..10000</a>
%e A372898 2 is a term since A000931(2) = 0 is divisible by 2.
%e A372898 27 is a term since A000931(27) = 351 = 13 * 27 is divisible by 27.
%t A372898 With[{m = 1500}, Position[LinearRecurrence[{0, 1, 1}, {0, 0, 1}, m]/Range[m], _?IntegerQ] // Flatten]
%o A372898 (PARI) lista(kmax) = {my(p1 = 0, p2 = 0, p3 = 1, p4); print1("1, 2, "); for(k = 4, kmax, p4 = p1 + p2; if(!(p4 % k), print1(k, ", ")); p1 = p2; p2 = p3; p3 = p4);}
%Y A372898 Cf. A000931.
%Y A372898 Similar sequences: A014847 (Catalan), A016089 (Lucas), A023172 (Fibonacci), A051177 (partition), A232570 (tribonacci), A246692 (Pell), A266969 (Motzkin).
%K A372898 nonn,easy
%O A372898 1,2
%A A372898 _Amiram Eldar_, May 16 2024