Simple question on Shannon's 1948 paper

Dear All,

I would appreciate someone pointing out the detailed
logic underlying an equation in Shannon's famous
1948 paper on information theory.

I am interested in the second unnumbered equation in
Part 1 of the paper:

N(t) = N(t-t_1) + N(t-t_2) + ... N(t-t_n)

where N(t) equals the number of sequences of symbols of
total duration t, with sequence 1 having duration t_1 etc.

How do I see that the above equation does what it says
it does, and what are the conditions on N(t)?

Thanks,

Inf.

.

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