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A048569 Values of k for which the number of divisors of the central binomial coefficient C(k, floor(k/2)) exceeds the number of divisors of all other binomial coefficients C(k,j). 2
1, 2, 3, 4, 5, 6, 10, 13, 14, 15, 16, 22, 26, 29, 30, 37, 38, 39, 40, 46, 47, 48, 57, 58, 85, 86, 87, 93, 94, 95, 97, 98, 106, 107, 122, 123, 124, 125, 147, 148, 149, 150, 157, 158, 159, 178, 194, 206, 214, 219, 220, 226, 230, 232, 247, 278, 283, 284, 285, 286, 316 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
k is in the sequence if the number of divisors of the central binomial coefficient C(k, floor(k/2)) (i.e., C(k, k/2) for even k, and C(k,(k-1)/2) = C(k,(k+1)/2) for odd k) is greater than the number of divisors of C(k, j) for all other values of j.
LINKS
EXAMPLE
If n=10 and k=0..10 then A000005(binomial(10,k)) = 1, 4, 6, 16, 16, 18, 16, 16, 6, 4, 1. The maximum value of A000005(binomial(10,k)), i.e., 18 occurs only at k=5, the central coefficient. Thus 10 is in this sequence.
CROSSREFS
Sequence in context: A344826 A128945 A318533 * A033085 A332320 A349862
KEYWORD
nonn
AUTHOR
EXTENSIONS
Edited by Jon E. Schoenfield, May 19 2018
STATUS
approved

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Last modified May 24 03:43 EDT 2024. Contains 372771 sequences. (Running on oeis4.)