A278537 a(n) = index of the column where n is located in array A278511, a(1) = 0.

0, 1, 1, 2, 2, 3, 1, 4, 2, 5, 3, 6, 1, 7, 2, 8, 4, 9, 1, 10, 3, 11, 5, 12, 2, 13, 1, 14, 6, 15, 2, 16, 4, 17, 7, 18, 3, 19, 1, 20, 8, 21, 2, 22, 5, 23, 9, 24, 1, 25, 3, 26, 10, 27, 4, 28, 6, 29, 11, 30, 2, 31, 1, 32, 12, 33, 2, 34, 7, 35, 13, 36, 3, 37, 5, 38, 14, 39, 1, 40, 8, 41, 15, 42, 4, 43, 2, 44, 16, 45, 1, 46, 9, 47, 17, 48, 6, 49, 3, 50, 18, 51, 2, 52

Offset: 1

Author

Antti Karttunen, Nov 23 2016

Keywords

• nonn

Comments

a(1) = 0 as the 1 is outside of array A278511 proper.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10707

Crossrefs

Cf. A000960, A278169, A278511, A278529.

Programs

Scheme

(define (A278537 n) (cond ((= 1 n) 0) ((not (zero? (A278169 n))) 1) ((even? n) (/ n 2)) (else (+ 1 (A278529 n)))))

Formula

a(1) = 0; for n > 1, if A278169(n) = 1 [when n is > 1 and in A000960], a(n) = 1, a(2n) = n, and for the rest of odd numbers, a(n) = 1 + A278529(n).