Metadata
bibkey: kagey2019a329278
authors: Peter Kagey
year: 2019
title: "OEIS A329278, Irregular table read by rows. The n-th row is the permutation of {0, 1, 2, ..., 2^n-1} given by T(n,k) = k(k+1)/2 (mod 2^n)"
doi: null
url: https://oeis.org/A329278
claim: "A329278 %N: Irregular table read by rows. The n-th row is the permutation of {0, 1, 2, ..., 2^n-1} given by T(n,k) = k(k+1)/2 (mod 2^n). A329278 %C: Conjecture: for n > 0, the n-th row has 2^(n-1)-1 descents. A329278 %A: _Peter Kagey_, Nov 11 2019"
strata_touched:
- D5/S3/Arith/Congruence/TriangularResidueDescentCount
license: citation-only
triage: anchor
OEIS A329278
The entry defines row n by reducing the triangular numbers modulo 2^n.
For positive n, it records Peter Kagey’s conjecture for the number of
adjacent strict descents in that row.
Verified locator
- URL: https://oeis.org/A329278
- Locator: COMMENTS, “Conjecture: for n > 0, the n-th row has 2^(n-1)-1 descents.” - Peter Kagey, Nov 11 2019