A275849 Number of unoccupied slopes in factorial base representation of n: a(n) = A084558(n) - A060502(n).

0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 3, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 1, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 4

Offset: 0

Author

Antti Karttunen, Aug 15 2016

Keywords

• nonn
• base

Links

• Antti Karttunen, Table of n, a(n) for n = 0..40320
• Index entries for sequences related to factorial base representation

Crossrefs

Cf. A060501, A060502, A084558.

Cf. A007489 (the indices of zeros).

Cf. also A225901, A275850, A275851, A275853.

Programs

Scheme

(define (A275849 n) (- (A084558 n) (A060502 n)))

Formula

a(n) = A084558(n) - A060502(n).

Other identities. For all n >= 0:

a(n) = A275850(A225901(n)).

a(n) = A060501(n)-1. [To be proved.]