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A323909 Balanced ternary representation of A004718, Per Nørgård's "infinity sequence". 4
0, 1, 2, 5, 1, 0, 7, 3, 2, 5, 0, 1, 5, 2, 6, 4, 1, 0, 7, 3, 0, 1, 2, 5, 7, 3, 1, 0, 3, 7, 8, 17, 2, 5, 0, 1, 5, 2, 6, 4, 0, 1, 2, 5, 1, 0, 7, 3, 5, 2, 6, 4, 2, 5, 0, 1, 6, 4, 5, 2, 4, 6, 22, 15, 1, 0, 7, 3, 0, 1, 2, 5, 7, 3, 1, 0, 3, 7, 8, 17, 0, 1, 2, 5, 1, 0, 7, 3, 2, 5, 0, 1, 5, 2, 6, 4, 7, 3, 1, 0, 3, 7, 8, 17, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The composer Per Nørgård's name is also written in the OEIS as Per Noergaard.

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..65536

FORMULA

If A004718(n) >= 0, then a(n) = A117967(A004718(n)), otherwise a(n) = A117968(-A004718(n)).

For all n >= 1, A117966(a(n)) = A004718(n).

PROG

(PARI)

up_to = 65536;

A004718list(up_to) = { my(v=vector(up_to)); v[1]=1; v[2]=-1; for(n=3, up_to, v[n] = if(n%2, 1+v[n>>1], -v[n/2])); (v); }; \\ After code in A004718.

v004718 = A004718list(up_to);

A004718(n) = if(!n, n, v004718[n]);

A117967(n) = if(n<=1, n, if(!(n%3), 3*A117967(n/3), if(1==(n%3), 1+3*A117967((n-1)/3), 2+3*A117967((n+1)/3))));

A117968(n) = if(1==n, 2, if(!(n%3), 3*A117968(n/3), if(1==(n%3), 2+3*A117968((n-1)/3), 1+3*A117968((n+1)/3))));

A323909(n) = { my(x = A004718(n)); if(x >= 0, A117967(x), A117968(-x)); };

CROSSREFS

Cf. A004718, A083866 (positions of zeros), A117966, A117967, A117968, A323907 (rgs-transform), A323908.

Sequence in context: A062627 A011217 A078506 * A124779 A284750 A092134

Adjacent sequences:  A323906 A323907 A323908 * A323910 A323911 A323912

KEYWORD

nonn

AUTHOR

Antti Karttunen, Feb 10 2019

STATUS

approved

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Last modified April 19 16:40 EDT 2019. Contains 322282 sequences. (Running on oeis4.)