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Date: 8-3-2020
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Date: 30-11-2020
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Date: 19-8-2020
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The numbers , where is a Hermite polynomial, may be called Hermite numbers. For , 1, ..., the first few are 1, 0, , 0, 12, 0, , 0, 1680, 0, ... (OEIS A067994). They are given explicitly by
(1) |
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(2) |
As a result of the ratio always being divisible by for , the only prime Hermite number is .
The Hermite numbers are related to the Hermite polynomials by
(3) |
where , and
(4) |
where .
REFERENCES:
Sloane, N. J. A. Sequence A067994 in "The On-Line Encyclopedia of Integer Sequences."
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دراسة يابانية لتقليل مخاطر أمراض المواليد منخفضي الوزن
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اكتشاف أكبر مرجان في العالم قبالة سواحل جزر سليمان
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المجمع العلمي ينظّم ندوة حوارية حول مفهوم العولمة الرقمية في بابل
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