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%I #21 Mar 19 2018 22:13:43
%S 1,2,2,6,2,36,2,30,12,60,2,2700,2,180,120,210,2,7560,2,6300,360,252,2,
%T 661500,20,420,168,94500,2,23814000,2,2310,504,132,600,43659000,2,396,
%U 840,2425500,2,187110000,2,207900,352800,1980,2,560290500,60,194040,264,485100,2,115259760,840,254677500,792,4620,2,264737261250000,2,13860
%N a(n) = Product_{d|n, d<n} A019565(d).
%H Antti Karttunen, <a href="/A293214/b293214.txt">Table of n, a(n) for n = 1..1024</a>
%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%F a(n) = Product_{d|n, d<n} A019565(d).
%F a(n) = A300830(n) * A300831(n) * A300832(n). - _Antti Karttunen_, Mar 16 2018
%F Other identities.
%F For n >= 0, a(2^n) = A002110(n).
%F For n >= 1:
%F A048675(a(n)) = A001065(n).
%F A001222(a(n)) = A292257(n).
%F A007814(a(n)) = A091954(n).
%F A087207(a(n)) = A218403(n).
%F A248663(a(n)) = A227320(n).
%o (PARI)
%o A019565(n) = {my(j,v); factorback(Mat(vector(if(n, #n=vecextract(binary(n), "-1..1")), j, [prime(j), n[j]])~))}; \\ From A019565
%o A293214(n) = { my(m=1); fordiv(n,d,if(d < n,m *= A019565(d))); m; };
%Y Cf. A001065, A002110, A019565, A048675, A091954, A292257, A293215 (restricted growth sequence transform).
%Y Cf. also A293216, A293221, A293222, A293225, A293231, A293442, A300830, A300831, A300832, A300833, A300834.
%K nonn,base
%O 1,2
%A _Antti Karttunen_, Oct 03 2017
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