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A065194 Limits of the recursion b(i+1)=B_[i](b(i)), where b(1)=n and B_[k+1](j) = B_[k](j), if j <= k; B_[k+1](j) = B_[k](j) + k, if j < k and (j mod 2k) >= k; B_[k+1](j) = B_[k](j) - k, if j < k and (j mod 2k) < k. Set a(n)=0 if b tends to infinity. 6

%I #3 Jan 16 2022 00:38:40

%S 1,10,4,2,5,35,24,3,20,14,9,19,12,39,13,6,104,7,8,79,145,27,60,15,45,

%T 31,144,22,16,4339,28,46,25,70,29,479,17,2170,40,11,325,114,85,30,32,

%U 75,36,43,44,18,300,235,49,135,704,214,33,54,9160,26,80,91,21,42,160

%N Limits of the recursion b(i+1)=B_[i](b(i)), where b(1)=n and B_[k+1](j) = B_[k](j), if j <= k; B_[k+1](j) = B_[k](j) + k, if j < k and (j mod 2k) >= k; B_[k+1](j) = B_[k](j) - k, if j < k and (j mod 2k) < k. Set a(n)=0 if b tends to infinity.

%C If zero never appears in a, then the sequence would be permutation of the naturals and A065191 would be its inverse.

%Y Cf. A065191, A065192, A065193, A065195, A065196, A065197.

%K nice,nonn

%O 1,2

%A Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Oct 19 2001

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