A340379 - OEIS

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A340379

Number of 2-digits in the ternary representation of A048673(n).

3

0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 3, 1, 2, 1, 3, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 3, 1, 3, 0, 4, 1, 2, 1, 2, 0, 3, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 3, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 3, 3, 2, 1, 2, 0, 2, 0, 4, 0, 2, 2, 3, 1, 3, 2, 3, 1, 3, 1

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OFFSET

1,6

COMMENTS

Binary weight of A291759(n).

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

Index entries for sequences computed from indices in prime factorization

FORMULA

a(n) = A081603(A048673(n)) = A000120(A291759(n)).

a(n) = (A286585(n) - A340378(n)) / 2.

For all n >= 1, a(n) >= A292252(n).

PROG

(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;

A289814(n) = { my (d=digits(n, 3)); fromdigits(vector(#d, i, if (d[i]==2, 1, 0)), 2); } \\ From A289814

A291759(n) = A289814(A048673(n));

A340379(n) = hammingweight(A291759(n));

CROSSREFS

Cf. A000120, A048673, A081603, A286585, A291759, A292252.

Cf. A340377 (positions of zeros).

Sequence in context: A358218 A100073 A257988 * A075685 A037906 A319394

Adjacent sequences: A340376 A340377 A340378 * A340380 A340381 A340382

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jan 15 2021

STATUS

approved