“Dudley triangle”的意思、由来-开放百科全书

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Dudley triangle

释义

Notes
References

Dudley Triangle may also refer to a neighborhood of Boston, Massachusetts.

In mathematics, the Dudley triangle is a triangular array of integers that was defined by {{harvs|first=Underwood|last=Dudley|authorlink=Underwood Dudley|year=1987|txt}}. It consists of the numbers

{{OEIS|A036238}}.

Dudley exhibited several rows of this triangle, and challenged readers to find the next row; the challenge was met by J. G. Mauldon, who proposed two different solutions. In one of Mauldon's solutions, the number at the intersection of the mth and nth diagonals (counting the top of the triangle as having m = n = 1) is given by the formula{{sfnp|Pickover|2003}}

Notes

References

{{cite journal|first=Underwood|last=Dudley|title=Problem 1277|journal=Mathematics Magazine|volume=60|year=1987|page=328|number=5|jstor=2690418|ref=harv}}
{{cite journal|first=J. G.|last=Mauldon|title=Solution to problem 1277|journal=Mathematics Magazine|volume=61|number=5|page=316|year=1988|jstor=2689553}}
{{cite book|first=Clifford A.|last=Pickover|authorlink=|title=Wonders of Numbers: Adventures in Mathematics, Mind, and Meaning|contribution=Chapter 59. The Dudley Triangle|url=https://books.google.com/books?id=52N0JJBspM0C&pg=PA145|year=2003|publisher=Oxford University Press|isbn=978-0-19-515799-4|pages=144–145|ref=harv}}

1 : Triangles of numbers

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