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A237352 a(1)=1; for n>1, a(n) is the smallest positive integer for which sigma(a(n)) is a proper multiple of sigma(a(n-1)). 1

%I #36 Sep 30 2014 06:55:20

%S 1,2,5,6,14,30,66,138,210,462,930,1974,3810,6510,14322,26670,58674,

%T 118110,245730,498666,826770,1720110,3784242,7617630,15728610,

%U 27524910,53323410,110100270,218453970,480598734,853272210,1877198862,3413108370,6772073070

%N a(1)=1; for n>1, a(n) is the smallest positive integer for which sigma(a(n)) is a proper multiple of sigma(a(n-1)).

%C Subsequence of A090552.

%C The first term of A090552 that is not here is 11 since sigma(11) equals sigma(a(4)), so it is not a proper multiple.

%H Hiroaki Yamanouchi, <a href="/A237352/b237352.txt">Table of n, a(n) for n = 1..50</a>

%o (PARI) lista(nn) = {n = 1; precs = sigma(n); print1(n, ", "); for (n=2, nn, if ((((ns=sigma(n)) % precs) == 0) && (ns != precs), precs = ns; print1(n, ", ");););}

%Y Cf. A090552.

%K nonn

%O 1,2

%A _Michel Marcus_, Apr 22 2014

%E a(33)-a(34) from _Hiroaki Yamanouchi_, Sep 30 2014

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Last modified April 23 15:20 EDT 2024. Contains 371916 sequences. (Running on oeis4.)