A278538 a(n) = index of the row where n is located in array A278505.

1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 2, 1, 4, 1, 4, 1, 2, 1, 5, 1, 3, 1, 2, 1, 5, 1, 6, 1, 2, 1, 6, 1, 3, 1, 2, 1, 4, 1, 7, 1, 2, 1, 7, 1, 3, 1, 2, 1, 8, 1, 5, 1, 2, 1, 4, 1, 3, 1, 2, 1, 8, 1, 9, 1, 2, 1, 9, 1, 3, 1, 2, 1, 6, 1, 4, 1, 2, 1, 10, 1, 3, 1, 2, 1, 5, 1, 10, 1, 2, 1, 11, 1, 3, 1, 2, 1, 4, 1, 7, 1, 2, 1, 11, 1, 3, 1, 2, 1, 12, 1, 5, 1, 2, 1, 4, 1, 3, 1, 2, 1

Offset: 1

Author

Antti Karttunen, Nov 23 2016

Keywords

• nonn

Comments

Ordinal transform of A278539 (most likely, but hinges on that also the columns of A278505 are strictly growing).

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10707
• Index entries for sequences related to the Josephus Problem

Crossrefs

Cf. A000960, A100617, A278169, A278505, A278507, A278536, A278537, A278539.

Programs

Scheme

(define (A278538 n) (if (not (zero? (A278169 n))) (A100617 n) (A278528 n)))

Formula

If A278169(n) = 1, a(n) = A100617(n), otherwise a(n) = A278528(n).

If n = A000960(k), a(n) = k, otherwise a(n) = number of the round in which n is removed in the Flavius sieve.