%I #14 Aug 31 2016 20:53:45

%S 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,

%T 96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,72,72,

%U 72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,48

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

%C 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).

%H Antti Karttunen, <a href="/A276149/b276149.txt">Table of n, a(n) for n = 0..5039</a>

%H <a href="/index/Fa#facbase">Index entries for sequences related to factorial base representation</a>

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

%t {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 *)

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

%Y Cf. A048764, A084558, A099563, A225901.

%K nonn,base

%O 0,3

%A _Antti Karttunen_, Aug 29 2016