|
| |
|
|
A014781
|
|
Seidel's triangle, read by rows.
|
|
0
| |
|
|
1, 1, 1, 1, 2, 1, 2, 3, 3, 8, 6, 3, 8, 14, 17, 17, 56, 48, 34, 17, 56, 104, 138, 155, 155, 608, 552, 448, 310, 155, 608, 1160, 1608, 1918, 2073, 2073, 9440, 8832, 7672, 6064, 4146, 2073, 9440, 18272, 25944, 32008, 36154, 38227
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,5
|
|
|
REFERENCES
| D. Dumont and A. Randrianarivony, Derangements et nombres de Genocchi, Discrete Mathematics, vol. 132, pp. 37-49, 1994.
R. Ehrenborg and E. Steingrimsson, Yet another triangle for the Genocchi numbers, Europ. J. Combin., 21 (2000), 593-600.
E. Feigin, The median Genocchi numbers, Q-analogues and continued fractions, Arxiv preprint arXiv:1111.0740, 2011
G. Kreweras, Sur les permutations compte'es par les nombres de Genocchi..., Europ. J. Comb., vol. 18, pp. 49-58, 1997.
L. Seidel, Ueber eine einfache Entstehungsweise der Bernoulli'schen Zahlen und einiger verwandten Reihen, Sitzungsberichte der mathematisch-physikalischen Classe der k\"oniglich bayerischen Akademie der Wissenschaften zu M\"unchen, volume 7 (1877), 157-187.
|
|
|
LINKS
| D. Dumont and J. Zeng, Polynomes d'Euler et les fractions continues de Stieltjes-Rogers, Ramanujan J. 2 (1998) 3, 387-410.
|
|
|
EXAMPLE
| Triangle begins:
1,
1,
1, 1,
2, 1,
2, 3, 3,
8, 6, 3,
8, 14, 17, 17,
56, 48, 34, 17,
56, 104, 138, 155, 155,
608, 552, 448, 310, 155,
608, 1160, 1608, 1918, 2073, 2073,
9440, 8832, 7672, 6064, 4146, 2073,
...
|
|
|
CROSSREFS
| Even terms of first column give A005439. Diagonal gives A001469.
Cf. A005439, A001469.
Sequence in context: A015746 A109266 A022876 * A066016 A098068 A194070
Adjacent sequences: A014778 A014779 A014780 * A014782 A014783 A014784
|
|
|
KEYWORD
| tabf,nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
EXTENSIONS
| More terms from Mike Domaratzki (mdomaratzki(AT)alumni.uwaterloo.ca), Nov 18 2001
|
| |
|
|
