%I A074848
%S A074848 1,2,2,3,2,4,2,4,3,4,2,6,2,4,4,2,2,6,2,6,4,4,2,8,3,4,4,6,2,8,2,4,4,4,4,
%T A074848 9,2,4,4,8,2,8,2,6,6,4,2,4,3,6
%N A074848 Number of 4-infinitary divisors of n: if n=Product p(i)^r(i) and d=Product
p(i)^s(i), each s(i) has a digit a<=b in its 4-ary expansion everywhere
that the corresponding r(i) has a digit b, then d is a 4-infinitary-divisor
of n.
%C A074848 Multiplicative: If e = sum d_k 3^k, then a(p^e) = prod (d_k+1). Christian
G. Bower (bowerc(AT)usa.net) May 19, 2005.
%e A074848 2^4*3 is a 4-infinitary-divisor of 2^5*3^2 because 2^4*3 = 2^10*3^1 and
2^5*3^2 = 2^11*3^2 in 4-ary expanded power. All corresponding digits
satisfy the condition. 1<=1, 0<=1, 1<=2.
%Y A074848 Sequence in context: A084302 A080256 A035149 this_sequence A167447 A134687
A000005
%Y A074848 Adjacent sequences: A074845 A074846 A074847 this_sequence A074849 A074850
A074851
%K A074848 nonn
%O A074848 1,2
%A A074848 Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp), Sep 10 2002
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