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

1,3

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

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.

Prog

(Scheme)
(define (A278538 n) (if (not (zero? (A278169 n))) (A100617 n) (A278528 n)))
(PARI) a(n)=local(A=n, B=n-1, m=0); until(A==B, m=m+1; A=abs(A-m-A%m); B=abs(B-m-B%m)); m-1 \\ Mikhail Kurkov, Apr 30 2022

Crossrefs

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

Sequence in context: A268187 A232440 A355749 * A282903 A332677 A090329

Adjacent sequences: A278535 A278536 A278537 * A278539 A278540 A278541

Keyword

nonn

Author

Antti Karttunen, Nov 23 2016

Status

approved