A348557 List of indices k such that A327267(k) is less than A328666(k).

30, 42, 70, 90, 102, 120, 154, 165, 170, 180, 182, 198, 210, 220, 224, 230, 238, 255, 264, 270, 273, 285, 286, 306, 308, 322, 330, 340, 350, 360, 374, 380, 385, 399, 406, 418, 420, 434, 435, 442, 465, 480, 486, 490, 494, 495, 506, 510, 518, 525, 544, 546, 550, 552, 558

Offset

1,1

Comments

It is known that A327267(n) <= A328666(n) for all n. See link. For n up to 6000, the inequality is strict only for 1193 values of n.

Indeed, the purpose of A328666 is to give a good upper bound sequence for the sequence A327267, while being much easier to compute.

Links

Christopher J. Smyth, Table of n, a(n) for n = 1..1193

Chris Pinner and Chris Smyth, Lattices of minimal index in Z^n having an orthogonal basis containing a given vector, preprint, 2021.

Example

a(1) = 30 since 30 is the first value of k for which A327267(k) < A328666(k).

Crossrefs

Cf. A327267 and A328666.

Sequence in context: A091455 A367481 A219742 * A376800 A257832 A050776

Adjacent sequences: A348554 A348555 A348556 * A348558 A348559 A348560

Keyword

nonn

Author

Christopher J. Smyth, Oct 22 2021

Status

approved