A382749 Position in block for greedy partition of length 4.

1, 2, 3, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 3, 2, 1, 3, 1, 4, 3, 2, 1, 4, 1, 2, 1, 4, 1, 1, 1, 1, 3, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 4, 1, 2, 1, 1, 1, 2, 3, 4, 1, 2, 1, 1, 3, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 4, 3, 2, 1, 2, 1, 2, 3, 4, 1, 1, 1, 2, 3, 2, 1, 2, 1, 2, 3, 1, 1, 3, 1, 4, 3, 2, 1, 3, 1, 2, 1, 4

Offset

1,2

Comments

a(n) = height of n with respect to the greedy convolution of length 4.

Position of n i block containing it for the greedy partition of length 4 of the positive integers.

a(n) = the column (one-indexed) in which n occurs in the infinite matrix A382747.

Links

Jan Snellman, Table of n, a(n) for n = 1..5000

W. Narkiewicz, On a class of arithmetical convolutions, Colloq. Math. 10, 1963, pp 81--94.

Jan Snellman, Greedy Regular Convolutions, arXiv:2504.02795 [math.NT], 2025.

Crossrefs

a(n) = column index of the unique position in the infinite matrix A382747 in which n occurs.

a(n) = 1 iff n is "primitive" with respect to the greedy convolution of length 4 i.e. if n occurs in A382748.

Sequence in context: A346689 A071498 A255825 * A339255 A086198 A086196

Adjacent sequences: A382746 A382747 A382748 * A382750 A382751 A382752

Keyword

nonn

Author

Jan Snellman, Apr 24 2025

Status

approved