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A180058
Smallest number occurring in exactly n rows of Pascal's triangle.
3
2, 6, 120, 3003
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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
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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)