A274515 - OEIS

%I #13 Jul 06 2016 00:32:35

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

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

%U 7,7,5,8,7,5,8,8,3,7,7,4,5,5,4,7,7,3,8

%N a(n) is the number of times that the value of ternary n when read as hyperbinary occurs in the set of hyperbinary representations.

%C Stern's diatomic sequence A002487 counts the ways (n+1) can be represented if one allows 2's to be included in (n)'s binary representation (its "hyperbinary representations" in the terminology of A002487). A065361 maps ternary ordering onto these hyperbinary representations.

%H Max Barrentine, <a href="/A274515/b274515.txt">Table of n, a(n) for n = 0..9841</a>

%F a(n) = A002487(A065361(n) + 1).

%e 5 in ternary is 12, which when read in hyperbinary is equal to 4. 6 in ternary is 20, which when read in hyperbinary is equal to 4. 9 in ternary is 100, which when read in hyperbinary is equal to 4. Since these are the only ways to represent 4 in hyperbinary, a(5) = a(6) = a(9) = 3.

%Y Cf. A002487, A065361.

%K nonn,base

%O 0,3

%A _Max Barrentine_, Jun 25 2016