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A257249 a(0) = 1, and for n >= 1, if A079559(n) = 0, then a(n) = 1 + a(A234017(n)), otherwise a(n) = a(A213714(n)-1). 4
1, 1, 2, 1, 2, 3, 2, 1, 2, 3, 3, 2, 4, 3, 2, 1, 2, 3, 3, 3, 4, 4, 2, 4, 3, 3, 2, 5, 4, 3, 2, 1, 2, 3, 3, 3, 4, 4, 3, 4, 4, 4, 2, 5, 5, 3, 4, 3, 5, 3, 2, 4, 4, 5, 4, 3, 3, 2, 6, 5, 4, 3, 2, 1, 2, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 4, 2, 5, 5, 5, 5, 3, 3, 4, 6, 6, 4, 5, 3, 5, 4, 3, 2, 6, 4, 4, 4, 3, 5, 4, 5, 5, 6, 3, 3, 5, 2, 6, 4, 4, 5, 4, 3, 3, 2, 7, 6, 5, 4, 3, 2, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Because A233275(n) = A003188(n) for n = 1 .. 9, a(n) = A005811(n) for n = 1 .. 9.

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..8191

FORMULA

a(0) = 1, and for n >= 1, if A079559(n) = 0, then a(n) = 1 + a(A234017(n)), otherwise a(n) = a(A213714(n)-1).

Other identities. For all n >= 1:

a(n) = A070939(n) - A257248(n).

a(n) = A000120(A233275(n)). [Binary weight of A233275(n).]

a(n) = 1 + A256479(n) = 1 + A080791(A233277(n)).

PROG

(Scheme, alternative definitions, the first one utilizing memoizing definec-macro)

(definec (A257249 n) (if (zero? n) 1 (+ (- 1 (A079559 n)) (A257249 (if (zero? (A079559 n)) (A234017 n) (+ -1 (A213714 n)))))))

(define (A257249 n) (+ 1 (A256479 n)))

CROSSREFS

One more than A256479.

Cf. A000120, A003188, A005811, A055938, A070939, A079559, A080791, A213714, A234017, A233275, A233277, A233278, A257248, A256991.

Sequence in context: A193101 A100661 A088696 * A267108 A004738 A043554

Adjacent sequences:  A257246 A257247 A257248 * A257250 A257251 A257252

KEYWORD

nonn

AUTHOR

Antti Karttunen, Apr 19 2015

STATUS

approved

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Last modified December 6 01:46 EST 2021. Contains 349558 sequences. (Running on oeis4.)