A376663 Largest frequency of n in the multiset of multinomial coefficients k!/(x_1! * ... * x_j!) with 1 <= x_1 <= ... <= x_j for a fixed k = x_1 + ... + x_j, i.e., maximum number of times that n appears in a row of A036038.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

Offset

1,56

Links

Pontus von Brömssen, Table of n, a(n) for n = 1..10000

Example

56 appears twice in row 8 of A036038 (and never more than twice in the same row): 56 = 8!/(1!*1!*6!) = 8!/(3!*5!). Hence, a(56) = 2.

Crossrefs

Cf. A036038, A376369, A376661, A376664, A376665 (records), A376666 (indices of records), A376667.

Sequence in context: A299202 A194337 A365335 * A299912 A369162 A329684

Adjacent sequences: A376660 A376661 A376662 * A376664 A376665 A376666

Keyword

nonn

Author

Pontus von Brömssen, Oct 02 2024

Status

approved