A305295 Binary encoding of 1-digits in ternary representation of A245612(n).

1, 0, 2, 2, 6, 7, 0, 3, 14, 4, 12, 1, 2, 0, 4, 0, 30, 37, 0, 5, 26, 28, 0, 1, 6, 17, 8, 14, 10, 9, 4, 1, 62, 16, 72, 103, 2, 90, 8, 0, 54, 25, 60, 33, 2, 32, 0, 19, 14, 40, 32, 40, 18, 11, 24, 0, 22, 18, 16, 9, 10, 8, 0, 4, 126, 333, 36, 305, 146, 4, 204, 331, 6, 147, 176, 44, 18, 225, 8, 121, 110, 214, 48, 203, 122, 6, 64, 78, 6, 1

Offset: 0

Author

Antti Karttunen, May 31 2018

Keywords

• nonn
• base

Links

• Antti Karttunen, Table of n, a(n) for n = 0..16383
• Index entries for sequences related to binary expansion of n
• Index entries for sequences computed from indices in prime factorization

Crossrefs

Cf. A245612, A289813, A305296 (rgs-transform).

Cf. also A292260, A291763.

Cf. also A304759, A304760.

Programs

PARI

A003961(n) = my(f = factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); \\ From A003961
A048673(n) = (A003961(n)+1)/2;
A254049(n) = A048673((2*n)-1);
A245612(n) = if(n<2,1+n,if(!(n%2),(3*A245612(n/2))-1,A254049(A245612((n-1)/2))));
A289813(n) = { my (d=digits(n, 3)); fromdigits(vector(#d, i, if (d[i]==1, 1, 0)), 2); } \\ From A289813
A305295(n) = A289813(A245612(n));