A180058 - OEIS

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A180058

Smallest number occurring in exactly n rows of Pascal's triangle.

2, 6, 120, 3003 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`A059233(a(n)) = n and A059233(m) < n for m < a(n).`
	LINKS	`Table of n, a(n) for n=1..4.` `Wikipedia, Singmaster's conjecture` `Index entries for triangles and arrays related to Pascal's triangle`
	EXAMPLE	`. n A180058 referred equal binomial coefficients (A007318) A059233` `. - ------- ---------------------------------------------- -------` `. 1 2 C (2, 1) 1` `. 2 6 C (4, 2) C (6, 1) 2` `. 3 120 C (10, 3) C (16, 2) C (120, 1) 3` `. 4 3003 C (14, 6) C (15, 5) C (78, 2) C (3003, 1) 4 .`
	PROG	`(Haskell)` `import Data.List (elemIndex)` `import Data.Maybe (fromJust)` a180058 = (+ 2) . fromJust . (`elemIndex` a059233_list)
	CROSSREFS	`Cf. A185024, A182237, A098565, A003015, A003016.` `Sequence in context: A075391 A212158 A058251 * A264470 A039716 A164955` `Adjacent sequences: A180055 A180056 A180057 * A180059 A180060 A180061`
	KEYWORD	`nonn,more`
	AUTHOR	`Reinhard Zumkeller, Dec 24 2012`
	STATUS	`approved`

Last modified January 20 12:09 EST 2021. Contains 340302 sequences. (Running on oeis4.)