A120078 -id:A120078 - cp's OEIS frontend

A120079 Unsigned row sums of triangle A120078.

1, 7, 68, 279, 7056, 7100, 349200, 1400175, 12622400, 12637296, 1530446400, 1531460700, 258950260800, 259056111600, 259141506624, 1036845584775, 299715332716800, 299771444772800, 108234634597689600, 108249271042728816, 108261866776377600, 108272784263716800

Offset: 1

Wolfdieter Lang, Jul 20 2006

G. C. Greubel, Table of n, a(n) for n = 1..1000

Signed row sums conjectured to be A027451(n), which also appears in the denominator of o.g.f.s. G(x, n) given in A120078 as numbers A(n).

Cf. A000290, A051418, A056220.

[(2-1/n^2)*(Lcm([1..n]))^2: n in [1..40]]; // G. C. Greubel, Apr 26 2023

Table[(2-1/n^2)*(Apply[LCM, Range[n]])^2, {n, 40}] (* G. C. Greubel, Apr 26 2023 *)

def A120079(n): return (2 - 1/n^2)*(lcm(range(1, n+1)))^2
[A120079(n) for n in range(1,41)] # G. C. Greubel, Apr 26 2023

a(n) = Sum_{k=1..n} abs(A120078(n,k)), n >= 1.
From G. C. Greubel, Apr 26 2023: (Start)
a(n) = (2 - 1/n^2)*A051418(n).
a(n) = A056220(n)*A051418(n)/A000290(n). (End)

Terms a(11) onward added by G. C. Greubel, Apr 26 2023

cp's OEIS Frontend

A120079 Unsigned row sums of triangle A120078.

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