A048627 Numbers m such that the maximal value of A001222(binomial(m,k)) and the central value A001222(A001405(m)) are identical.

1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 22, 23, 26, 27, 28, 29, 30, 39, 45, 46, 47, 51, 58, 59, 61, 62, 63, 86, 87, 93, 94, 95, 118, 119, 122, 123, 124, 125, 126, 147, 148, 158, 159, 178, 179, 187, 188, 189, 190, 214, 215, 221, 222, 236, 237, 238, 245, 246, 247, 248, 249, 253, 254

Offset

1,2

Comments

Indexes of 0's in A048622. - Sean A. Irvine, Jun 24 2021

Links

Ivan Neretin, Table of n, a(n) for n = 1..1000

Example

For m=23, A001222 for binomial(23,k) = {0,1,2,3,4,4,5,5,6,6,6,6,6,6,6,6,5,5,4,4,3,2,1,0}, thus both the maximal and central values are 6, so 23 is a term.

Mathematica

Select[Range[120], Function[n, ar = PrimeOmega[#] & /@ Binomial[n, Range[0, n/2]]; Max[ar] == ar[[-1]]]] (* Ivan Neretin, Sep 07 2015 *)

Prog

(PARI) isok(m) = vecmax(apply(bigomega, vector(m+1, k, binomial(m, k-1)))) == bigomega(binomial(m, m\2)); \\ Michel Marcus, Jun 25 2021

Crossrefs

Cf. A001222, A020731, A048622.

Sequence in context: A037143 A236105 A292050 * A152757 A062462 A033948

Adjacent sequences: A048624 A048625 A048626 * A048628 A048629 A048630

Keyword

nonn

Author

Labos Elemer

Status

approved