A348640 Denominators of the remainders in the greedy Egyptian fraction representation of 1 with square denominators (A348626).

1, 4, 2, 4, 36, 36, 1764, 2352, 115248, 416333400, 107225418169800, 562904175532925098845000, 1857180475556752726157213892231405000, 424594887903818740281781489141947299544299873193026842805000, 27616236678198713245845367246922973802897093015095664467139174240964043973815461112656369429045000

Offset

0,2

Comments

a(n) divides LCM( A348626(1), ..., A348626(n) )^2.

Links

Table of n, a(n) for n=0..14.

Formula

a(n) = denominator of 1 - Sum_{k=1..n} 1/A348626(k)^2.

Example

The first few remainders are 1, 3/4, 1/2, 1/4, 5/36, 1/36, 13/1764, 1/2352, 1/115248, 11/416333400, ... - N. J. A. Sloane, Apr 21 2025

Prog

(PARI) s=1; for(n=1, 20, print1(denominator(s), ", "); t=sqrtint(floor(1/s))+1; s-=1/t^2);

Crossrefs

Cf. A000058, A348626, A348641 (numerators), A382719.

Sequence in context: A168613 A248251 A139809 * A094099 A107046 A267184

Adjacent sequences: A348637 A348638 A348639 * A348641 A348642 A348643

Keyword

nonn,frac

Author

Max Alekseyev, Oct 26 2021

Status

approved