A338428 Multiplicities for A111774(n), for n >= 1.

1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 1, 2, 1, 3, 1, 4, 1, 1, 1, 2, 2, 1, 3, 2, 1, 2, 1, 3, 1, 4, 2, 3, 1, 2, 3, 2, 1, 4, 1, 2, 3, 1, 3, 1, 3, 2, 1, 2, 1, 5, 2, 1, 2, 1, 2, 1, 2, 4, 1

Offset

1,6

Comments

See the triangle and array of A337940 for details.

The first n and N(n) = A111774(n) with multiplicity m are [m, n, N] = [1, 1, 6], [2, 6, 15], [3, 16, 30], [4, 26, 45], [5, 60, 90], [6, 72, 105], [7, 157, 210], ...

Links

Table of n, a(n) for n=1..69.

Formula

a(n) gives the number of possibilities to write A111774(n) as a sum of at least three consecutive positive integers.

Example

For a(6) = 2 for  A111774(6) = 15 see the example given in A337940.
Similarly for a(24) = 3 for A111774(24) = 42.

Crossrefs

Cf. A111774, A337940.

Sequence in context: A324496 A137454 A092984 * A297382 A258257 A086600

Adjacent sequences: A338425 A338426 A338427 * A338429 A338430 A338431

Keyword

nonn

Author

Wolfdieter Lang, Nov 23 2020

Status

approved