Intellectually Curious

OEIS A000227: Nearest integer to e and the integer maximizer


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Explore A000227, the sequence of integers closest to e, which begins 1, 3, 7, 20, 55, 148 and is indexed from 0. We trace the surprising link to a related discrete maximization problem for the function 6^{k!}, the observation by Stanislav Sikora that the integer argmax aligns with the rounded continuous peak, and the high-precision A000227Test that finds no counterexamples up to n > 24,500. We discuss the heuristic (not a proof) based on peak symmetry, and place this curious coincidence in historical context with notes on indexing and connections to related sequences.


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Intellectually CuriousBy Mike Breault