Talk:Singmaster's conjecture
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[Untitled]
editThere's an error in one of the binomial coefficients listed for 7140:
{7140 \choose 1} = {239 \choose 2} = {36 \choose 3}
239 is an error because 239*238/2 = 28441, not 7140.
The correct value for this binomial coefficient is
{120 \choose 2}
120*119/2 = 7140.
Jeff Caveney —Preceding unsigned comment added by 75.2.245.250 (talk) 18:33, 23 November 2007 (UTC)
3003
editIn 1995, 3003 was the only known number appearing 8 times [1]. Is this still the case? DRLB (talk) 22:17, 29 January 2008 (UTC)
- Perhaps David Singmaster knows the answer to that one; you could ask him. Michael Hardy (talk) 23:00, 29 January 2008 (UTC)
- More updated information appears at http://mathworld.wolfram.com/PascalsTriangle.html — Preceding unsigned comment added by 128.122.80.21 (talk) 22:49, 30 August 2011 (UTC)
First appearance of the term?
editI conjecture that Rodica Simion's Ph.D. thesis in 1981 was the first occurrence in print of the term that is the title of this article. I find it in a 1989 paper written by others, but there it refers to something else—a conjecture on permutations. Michael Hardy (talk) 12:34, 14 May 2009 (UTC)
61218182743304701891431482520
editIn the article, it states that the next number to appear at least six times is 61218182743304701891431482520. Is there a proof of this somewhere? There is a reference number tagged to it, but I looked at the link and didn't see anything about 61218182743304701891431482520. If you know of a proof, please link me. To be clear, how do we know there isn't a number between 24310 and 61218182743304701891431482520 that doesn't appear at least six times? Is there a proof, or was it computation of each number in between? Jeanlovecomputers (talk) 22:39, 26 October 2024 (UTC)