A304750 - OEIS

%I #7 May 31 2018 08:14:48

%S 1,1,1,2,1,1,1,2,1,3,4,1,1,1,1,4,1,1,1,2,5,3,4,2,1,3,4,2,1,6,7,1,1,3,

%T 4,5,1,1,1,2,8,1,1,7,5,5,5,4,1,8,8,7,5,5,5,9,1,1,1,2,10,3,4,1,1,8,8,

%U 11,5,12,13,1,1,3,4,5,1,1,1,4,14,3,4,2,1,15,16,1,8,12,13,2,8,6,7,9,1,17,18,2,14,15,16,19,8,12

%N Restricted growth sequence transform of A292240(n), formed from 0-digits in ternary representation of A254103(n).

%C For all i, j: a(i) = a(j) => A292241(i) = A292241(j).

%H Antti Karttunen, <a href="/A304750/b304750.txt">Table of n, a(n) for n = 0..65537</a>

%o (PARI)

%o A254103(n) = if(!n,n,if(!(n%2),(3*A254103(n/2))-1,(3*(1+A254103((n-1)/2)))\2));

%o A291770(n) = { my(s=0, b=1, d); while(n>2, if(!(n%3), s += b); b <<= 1; n \= 3); (s); };

%o A292240(n) = A291770(A254103(n));

%o rgs_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), u=1); for(i=1, length(invec), if(mapisdefined(om,invec[i]), my(pp = mapget(om, invec[i])); outvec[i] = outvec[pp] , mapput(om,invec[i],i); outvec[i] = u; u++ )); outvec; };

%o v304750 = rgs_transform(vector(65538,n,A292240(n-1)));

%o A304750(n) = v304750[1+n];

%Y Cf. A254103, A291770, A292240.

%Y Cf. also A292241, A304740, A304746.

%K nonn

%O 0,4

%A _Antti Karttunen_, May 30 2018