A280509 a(n) = A051064(A246200(n)); 3-adic valuation of A057889(3*n).

1, 1, 2, 1, 1, 2, 1, 1, 3, 1, 1, 2, 1, 1, 2, 1, 1, 3, 1, 1, 2, 1, 4, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 3, 1, 1, 2, 1, 1, 5, 1, 2, 3, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 4, 1, 1, 2, 2, 1, 1, 3, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 4, 1, 1, 2, 1, 1, 2, 2

Offset: 1

Author

Antti Karttunen, Jan 09 2017

Keywords

• nonn
• base

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10921
• Nicholas John Bizzell-Browning, LIE scales: Composing with scales of linear intervallic expansion, Ph. D. Thesis, Brunel Univ. (UK, 2024). See p. 73.
• Index entries for sequences related to binary expansion of n

Crossrefs

Cf. A007949, A057889, A246200, A280508.

Differs from A051064 for the first time at n=23, where a(23) = 4, while A051064(23) = 1.

Cf. also A265331.

Programs

PARI

A030101(n) = if(n<1,0,subst(Polrev(binary(n)),x,2));
A057889(n) = if(!n,n,A030101(n/(2^valuation(n,2))) * (2^valuation(n, 2)));
A280509(n) = valuation(A057889(3*n),3); \\ Antti Karttunen, Dec 26 2024

Scheme

(define (A280509 n) (A051064 (A246200 n)))

Formula

a(n) = A007949(A057889(3*n)).

a(n) = A051064(A246200(n)).