

A048299


Let b(n) = A048273(n) = maximal number of prime factors of C(n,k) for k=0..n; sequence gives smallest value of k achieving b(n).


3



0, 1, 1, 2, 2, 1, 2, 4, 3, 4, 4, 6, 6, 5, 4, 8, 8, 6, 6, 8, 8, 8, 8, 10, 5, 6, 12, 10, 10, 9, 10, 12, 12, 16, 15, 16, 16, 18, 18, 20, 20, 18, 18, 20, 16, 13, 16, 19, 20, 15, 20, 17, 18, 21, 24, 20, 21, 21, 21, 28, 29, 21, 21, 32, 32, 28, 29, 32, 32, 32, 28, 28, 29, 32, 32, 32, 35, 32
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OFFSET

1,4


LINKS

Michael De Vlieger, Table of n, a(n) for n = 1..1000


EXAMPLE

For n = 50, the number of distinct prime factors of C(50, k) can be 0,2,3,4,5,6,7,8,9,10. The maximum is reached at several positions k=15,17,...,33,35. Thus a(50) = 15, far from the central C(50, 25).


MATHEMATICA

Table[Min@ MaximalBy[Range[0, n], PrimeNu@ Binomial[n, #] &], {n, 78}] (* Michael De Vlieger, Aug 01 2017 *)


CROSSREFS

Cf. A001221, A048273, A001405, A048571.
Sequence in context: A305632 A035374 A229219 * A232084 A261359 A217680
Adjacent sequences: A048296 A048297 A048298 * A048300 A048301 A048302


KEYWORD

nonn


AUTHOR

Labos Elemer


STATUS

approved



