A232853 Repeat n+1 times A091137(n).

1, 2, 2, 12, 12, 12, 24, 24, 24, 24, 720, 720, 720, 720, 720, 1440, 1440, 1440, 1440, 1440, 1440, 60480, 60480, 60480, 60480, 60480, 60480, 60480, 120960, 120960, 120960, 120960, 120960, 120960, 120960, 120960, 3628800

Offset

0,2

Comments

A002657(n) and A091137(n) are linked to the Bernoulli numbers B n.

Unreduced differences table of A002657(n)/A091137(n):

1, 1/2, 5/12, 9/24, 251/720, 475/1440,...

-1/2, -1/12, -1/24, -19/720, -27/1440,... =-A141417(n+1)/A091137(n+1),

5/12, 1/24, 11/720, 11/1440,...

-9/24, -19/720, -11/1440,...

251/720, 27/1440,...

-475/1440,... etc.

This is an autosequence of the second kind: its inverse binomial transform is the signed sequence with the main diagonal double of the first upper diagonal.

a(n) is the denominators written by antidiagonals.

References

P. Curtz, Intégration numérique des systèmes différentiels à conditions initiales. Centre de Calcul Scientifique de l'Armement, Arcueil 1969. Pages 36 and 56.

Links

Table of n, a(n) for n=0..36.

Formula

Repeat n+1 times A091137(n). Triangle.

Example

1,
2,   2,
12, 12, 12,
24, 24, 24, 24, etc.

Crossrefs

Cf. A195287, A002208/A002209 (reduced autosequence), A193546, A174727, A165313.

Sequence in context: A196061 A342582 A131121 * A328520 A055772 A025527

Adjacent sequences: A232850 A232851 A232852 * A232854 A232855 A232856

Keyword

nonn,tabl,frac,less

Author

Paul Curtz, Dec 01 2013

Status

approved