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A293440 First differences of A293230: how many more alive nodes there are in generation n+1 than in generation n in the binary tree of persistently squarefree numbers.

%I A293440 #10 Oct 18 2017 08:55:12
%S A293440 1,1,2,2,2,3,3,4,7,9,14,17,18,30,37,53,68,82,116,149,201,289,390,510,
%T A293440 701,921,1241,1682,2277,2990,4054,5489,7247,9778,13222,17684,23849,
%U A293440 32146,42930,57828,77679,104443,140343,188387,253322,339990,456855,614187,825548,1108788,1489668
%N A293440 First differences of A293230: how many more alive nodes there are in generation n+1 than in generation n in the binary tree of persistently squarefree numbers.
%F A293440 a(n) = A293230(1+n)-A293230(n).
%F A293440 a(n) = A293522(n) - A293520(n). [Equal to the number of bifurcating nodes minus the number of withering nodes.]
%o A293440 (Scheme) (define (A293440 n) (- (A293230 (+ 1 n)) (A293230 n)))
%Y A293440 Cf. A293230, A293520, A293521, A293522, A293441.
%K A293440 nonn
%O A293440 0,3
%A A293440 _Antti Karttunen_, Oct 12 2017