EPISODE · Jul 22, 2025 · 5 MIN
OEIS A000284: Cubed Recurrence Sequence
from Intellectually Curious · host Mike Breault
We dive into A000284, the Cubed Recurrence Sequence, defined by a_n = a_{n-1}^3 + a_{n-2} with a_0 = 0 and a_1 = 1. See how a tiny nonlinear operation—cubing the previous term—can drive terms from single digits to astronomical sizes, explore its hyperexponential growth (roughly floor(c^{3^n}) with c ≈ 1.0275), and discuss practical computation with arbitrary-precision arithmetic. We place this sequence in the broader context of nonlinear dynamics and what it teaches about simple rules producing explosive behavior.Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.Sponsored by Embersilk LLC
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We dive into A000284, the Cubed Recurrence Sequence, defined by a_n = a_{n-1}^3 + a_{n-2} with a_0 = 0 and a_1 = 1. See how a tiny nonlinear operation—cubing the previous term—can drive terms from single digits to astronomical sizes, explore its hyperexponential growth (roughly floor(c^{3^n}) with c ≈ 1.0275), and discuss practical computation with arbitrary-precision arithmetic. We place this sequence in the broader context of nonlinear dynamics and what it teaches about simple rules produci...
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OEIS A000284: Cubed Recurrence Sequence
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