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A110499 Largest k such that n is the highest power in the factorization of binomial(2k,k). 0
4, 1056, 540928 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Checked all k < 10^8. a(1) has been proved. a(2) and a(3) are conjectured.

Checked all k < 10^9. a(4) is at least 537927682. - T. D. Noe, Jul 27 2005

LINKS

Table of n, a(n) for n=1..3.

EXAMPLE

a(1)=4 because binomial(8,4) is the largest squarefree central binomial coefficient. a(2)=1056 because binomial(2112,1056) is the largest cubefree.

CROSSREFS

Cf. A110495 (n such that binomial(2n, n) is cubefree).

Sequence in context: A004804 A221228 A159859 * A009013 A351618 A248656

Adjacent sequences: A110496 A110497 A110498 * A110500 A110501 A110502

KEYWORD

bref,nonn

AUTHOR

T. D. Noe, Jul 22 2005

STATUS

approved

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Last modified December 2 10:01 EST 2022. Contains 358493 sequences. (Running on oeis4.)