OEIS A000149: Floor of e^n

An exploration of OEIS A000149, the floor of e^n sequence: a(n) = floor(e^n) begins 1, 2, 7, 20, 54... We unpack how this simple definition connects to deep ideas—multiplicative growth (and why a(n)^(1/n) → e), links to powers of two and factorials, and the appearance of Benford's law via logarithmic spacing. We also discuss broader questions about Benford behavior in other transcendental-base sequences like pi.

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