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Search: id:A034404
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| A034404 |
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Values of C(n,3) which can be written as C(x,3)+C(y,3). |
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+0
2
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| 20, 680, 29260, 34220, 70300, 221815, 227920, 287980, 467180, 908600, 2481115, 4278680, 12259940, 13813570, 15493204, 17861900, 19970444, 24672560, 25665020, 27880600, 29742164, 34055980, 44722580
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Bombieri's Napkin Problem: Bombieri said that "the equation C(x,n)+C(y,n)=C(z,n) has no trivial solutions for n >= 3" (the joke being that he said "trivial" rather than "nontrivial"!).
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REFERENCES
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Van der Poorten, Notes on Fermat's Last Theorem, Wiley, p. 122.
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EXAMPLE
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C(10,3)+C(16,3)=C(17,3)=680.
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CROSSREFS
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Cf. A010330.
Sequence in context: A006410 A159874 A109894 this_sequence A012802 A049214 A002455
Adjacent sequences: A034401 A034402 A034403 this_sequence A034405 A034406 A034407
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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