A276149 a(0) = 0; for n >= 1, a(n) = A048764(n) * (1+(A084558(n)-A099563(n))).

0, 1, 4, 4, 2, 2, 18, 18, 18, 18, 18, 18, 12, 12, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 48

Offset: 0

Author

Antti Karttunen, Aug 29 2016

Keywords

• nonn
• base

Comments

Auxiliary function for computing A225901: the most significant digit in factorial base representation of n is "inverted", the rest of digits are "cleared" (replaced with zeros).

Links

• Antti Karttunen, Table of n, a(n) for n = 0..5039
• Index entries for sequences related to factorial base representation

Crossrefs

Cf. A048764, A084558, A099563, A225901.

Programs

Mathematica

{0}~Join~Table[# (1 + ((m = 1; While[m! <= n, m++]; m - 1) - Floor[n/#])) &[k = 1; While[(k + 1)! <= n, k++]; k!], {n, 96}] (* Michael De Vlieger, Aug 30 2016, after Jayanta Basu at A084558 *)

Scheme

(define (A276149 n) (if (zero? n) n (* (A048764 n) (+ 1 (- (A084558 n) (A099563 n))))))

Formula

a(0) = 0; for n >= 1, a(n) = A048764(n) * (1+(A084558(n)-A099563(n))).