The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A008283

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A008283

Read across rows of Euler-Bernoulli or Entringer triangle.
(history; published version)

#29 by Alois P. Heinz at Wed Nov 10 15:37:55 EST 2021

STATUS

proposed

approved

#28 by Jean-François Alcover at Wed Nov 10 08:30:08 EST 2021

STATUS

editing

proposed

Discussion

Wed Nov 10

14:17

Wesley Ivan Hurt: You should add your signature as well.

#27 by Jean-François Alcover at Wed Nov 10 08:29:54 EST 2021

MATHEMATICA

T[n_, k_] := T[n, k] = If[k == 0, If[n == 0, 1, 0],

T[n, k - 1] + T[n - 1, n - k]];

Table[Table[T[n, k - 2], {k, 3, n}], {n, 3, 11}] // Flatten (* after Peter Luschny *)

STATUS

approved

editing

#26 by Peter Luschny at Wed Feb 17 15:47:19 EST 2021

STATUS

proposed

approved

#25 by Petros Hadjicostas at Wed Feb 17 14:23:32 EST 2021

STATUS

editing

proposed

#24 by Petros Hadjicostas at Wed Feb 17 14:23:19 EST 2021

COMMENTS

The sequence is formed by skipping duplicates in A008282.

STATUS

proposed

editing

#23 by Peter Luschny at Wed Feb 17 13:23:24 EST 2021

STATUS

editing

proposed

Discussion

Wed Feb 17

14:23

Petros Hadjicostas: OK, thanks,  Peter. Now I understand. I will remove my sentence.

#22 by Peter Luschny at Wed Feb 17 13:19:57 EST 2021

EXAMPLE

This is a sub-triangle of A008282, starting in row 3 of A008282 and then proceeding as a regular triangle.

[ 3] 1

[ 4] 2, 4

[ 5] 5, 10, 14

[ 6] 16, 32, 46, 56

[ 7] 61, 122, 178, 224, 256

[ 8] 272, 544, 800, 1024, 1202, 1324

[ 9] 1385, 2770, 4094, 5296, 6320, 7120, 7664

[10] 7936, 15872, 23536, 30656, 36976, 42272, 46366, 49136

[11] 50521, 101042, 150178, 196544, 238816, 275792, 306448, 329984, 345856

STATUS

proposed

editing

Discussion

Wed Feb 17

13:23

Peter Luschny: I don't nothing about 'skipping' and 'duplicates'.  I only followed the instructions from the author who specified the offset = 3 and the keyword tabl. That's all it takes.

#21 by Michel Marcus at Wed Feb 17 09:58:03 EST 2021

STATUS

editing

proposed

#20 by Michel Marcus at Wed Feb 17 09:57:55 EST 2021

REFERENCES

V. I. Arnold, The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups, Uspekhi Mat. nauk., 47 (#1, 1992), 3-45 = Russian Math. Surveys, Vol. 47 (1992), 1-51.

LINKS

V. I. Arnold, <a href="http://mi.mathnet.ru/eng/umn4470">The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups</a>, Uspekhi Mat. nauk., 47 (#1, 1992), 3-45 = Russian Math. Surveys, Vol. 47 (1992), 1-51. <a href="http://iopscience.iop.org/article/10.1070/RM1992v047n01ABEH000861/pdf">English version</a>.

STATUS

proposed

editing