A120114 a(n) = lcm(1, ..., 2n+4)/lcm(1, ..., 2n+2).

6, 5, 14, 3, 11, 13, 2, 17, 19, 1, 23, 5, 3, 29, 62, 1, 1, 37, 1, 41, 43, 1, 47, 7, 1, 53, 1, 1, 59, 61, 2, 1, 67, 1, 71, 73, 1, 1, 79, 3, 83, 1, 1, 89, 1, 1, 1, 97, 1, 101, 103, 1, 107, 109, 1, 113, 1, 1, 1, 11, 1, 5, 254, 1, 131, 1, 1, 137, 139, 1, 1, 1, 1

Offset

0,1

Comments

The subdiagonal of A120113 is -a(n).

Links

Muniru A Asiru, Table of n, a(n) for n = 0..5000

Formula

a(n) = A099996(n+2)/A099996(n+1). - Michel Marcus, May 06 2023

Mathematica

Table[(LCM@@Range[2n+4])/LCM@@Range[2n+2], {n, 0, 100}] (* Harvey P. Dale, Dec 15 2017 *)

Prog

(GAP) List([0..75], n->Lcm(List([1..2*n+4], i->i))/Lcm(List([1..2*n+2], i->i))); # Muniru A Asiru, Mar 04 2019
(Magma)
A120114:= func< n | Lcm([1..2*n+4])/Lcm([1..2*n+2]) >;
[A120114(n): n in [0..100]]; // G. C. Greubel, May 05 2023
(SageMath)
def A120114(n):
    return lcm(range(1, 2*n+5)) // lcm(range(1, 2*n+3))
[A120114(n) for n in range(101)] # G. C. Greubel, May 05 2023

Crossrefs

Cf. A099996, A120113.

Sequence in context: A046627 A309550 A274931 * A123168 A119636 A300750

Adjacent sequences: A120111 A120112 A120113 * A120115 A120116 A120117

Keyword

easy,nonn

Author

Paul Barry, Jun 09 2006

Extensions

More terms from Harvey P. Dale, Dec 15 2017

Status

approved