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%I #6 Mar 30 2012 17:26:51
%S 1,1,1,4,1,44,1,235,921,4038,1,66147,1,304383,6581754,45353329,1,
%T 1100311690,1,44423279911,1250831952086,284120133400,1,71664788693247,
%U 511162204140999,55479698795314,10715917223431762,505603414069366830,1,28696102343693431631,1,857699266471525509621,30399386408588668316839,63063040603038091480
%N a(n) = number of Egyptian fractions 1 = 1/x_1 + ... + 1/x_k (for any k), with max{x_i}=n.
%H <a href="/index/Ed#Egypt">Index entries for sequences related to Egyptian fractions</a>
%F a(n)=A038034(n)-A038034(n-1)
%F a(n)=1 if n is prime.
%e a(4)=4 since there are four fractions 1=1/2+1/4+1/4, 1=1/4+1/2+1/4, 1=1/4+1/4+1/2 and 1=1/4+1/4+1/4+1/4.
%Y Cf. A092666, A038034, A092669, A002967, A000058.
%K nonn
%O 1,4
%A _Max Alekseyev_, Mar 02 2004
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