A275850 Number of digits in range [1..A084558(n)] that do not occur in factorial base representation of n: a(n) = A084558(n) - A275806(n).

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

Offset

0,7

Links

Antti Karttunen, Table of n, a(n) for n = 0..40320

Index entries for sequences related to factorial base representation

Formula

a(n) = A084558(n) - A275806(n).

Other identities. For all n >= 0:

a(n) = A275849(A225901(n)).

Example

For n=6 ("100" in factorial base representation A007623) there are two digits in interval [1..A084558(6)] = [1..3] that are not used, namely 2 and 3, thus a(6)=2.
For n=12 ("200") there are also two digits in interval [1..3] that are not used, namely 1 and 3, thus a(12)=2.
For n=23 ("321") all the digits in interval [1..3] are in use, thus a(23)=0.

Prog

(Scheme) (define (A275850 n) (- (A084558 n) (A275806 n)))

Crossrefs

Cf. A084558, A275806.

Cf. A033312 (indices of zeros).

Cf. also A007623, A225901, A275849.

Sequence in context: A156608 A368752 A323827 * A112505 A104638 A270648

Adjacent sequences: A275847 A275848 A275849 * A275851 A275852 A275853

Keyword

nonn,base

Author

Antti Karttunen, Aug 15 2016

Status

approved