Search: id:A085767
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%I A085767
%S A085767 1,3,3,3,2,3,5,11,9,7,4,3,9,7,12,11,6,27,13,27,12,4,8,27,17,35,27,19,10,
%T A085767 12,21,43,15,23,5,27,25,19,9,27,14,12,29,11,27,8,16,75,33,67,6,35,18,27,
%U A085767 15,75,51,39,20,27,41,31,54,43,22,15,45,40,54,7,24,27,49,99,42,19,26,39
%N A085767 Smallest m such that n divides the pentagonal number A000326(m).
%e A085767 Let pe(m)=m*(3m-1)/2. The pe(1)=1, pe(2)=5, pe(3)=12. As pe(3) is the 
               first divisible by 6, a(6)=3.
%o A085767 (PARI) pe(n)=n*(3*n-1)/2 for (n=1,50,c=1; while (pe(c)%n!=0,c++); print1(c",
               "))
%Y A085767 Cf. A011772 (triangular numbers), A019554 (squares).
%Y A085767 Sequence in context: A075074 A166007 A087497 this_sequence A082127 A031354 
               A033700
%Y A085767 Adjacent sequences: A085764 A085765 A085766 this_sequence A085768 A085769 
               A085770
%K A085767 nonn
%O A085767 1,2
%A A085767 Jon Perry (perry(AT)globalnet.co.uk), Jul 22 2003
%E A085767 More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Feb 10 
               2005

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