The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A132056

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A132056

Triangle read by rows, the Bell transform of Product_{k=0..n} 7*k+1 without column 0.
(history; published version)

#25 by Wolfdieter Lang at Wed Aug 28 15:44:17 EDT 2019

STATUS

editing

approved

#24 by Wolfdieter Lang at Wed Aug 28 15:44:13 EDT 2019

LINKS

W. Lang, <a href="/LANGCHANGE/A132056/a132056.texttxt">First 10 rows</a>.

STATUS

approved

editing

#23 by N. J. A. Sloane at Wed Aug 28 09:25:23 EDT 2019

LINKS

W. Lang, <a href="http://www.itp.kit.edu/~wl/EISpubLANGCHANGE/A132056.text">First 10 rows</a>.

Discussion

Wed Aug 28

09:25

OEIS Server: https://oeis.org/edit/global/2824

#22 by Bruno Berselli at Fri Jun 22 04:14:26 EDT 2018

STATUS

proposed

approved

#21 by Jean-François Alcover at Fri Jun 22 04:14:17 EDT 2018

STATUS

editing

proposed

#20 by Jean-François Alcover at Fri Jun 22 04:14:14 EDT 2018

MATHEMATICA

rows = 8;

a[n_, m_] := BellY[n, m, Table[Product[7k+1, {k, 0, j}], {j, 0, rows}]];

Table[a[n, m], {n, 1, rows}, {m, 1, n}] // Flatten (* Jean-François Alcover, Jun 22 2018 *)

STATUS

approved

editing

#19 by N. J. A. Sloane at Mon Jan 08 01:51:45 EST 2018

STATUS

proposed

approved

#18 by Michel Marcus at Mon Jan 08 01:41:24 EST 2018

STATUS

editing

proposed

#17 by Michel Marcus at Mon Jan 08 01:41:07 EST 2018

REFERENCES

F. Bergeron, Ph. Flajolet and B. Salvy, Varieties of Increasing Trees, in Lecture Notes in Computer Science vol. 581, ed. J.-C. Raoult, Springer 1922, pp. 24-48.

P. Blasiak, K. A. Penson and A. I. Solomon, The general boson normal ordering problem, Phys. Lett. A 309 (2003) 198-205.

LINKS

WF. Bergeron, Ph. Flajolet and B. Lang, Salvy, <a href="httpshttp://csalgo.uwaterlooinria.ca/journals/JISfr/VOL3flajolet/LANGPublications/langBeFlSa92.htmlpdf">On generalizations Varieties of Stirling number trianglesIncreasing Trees</a>, Lecture Notes in Computer Science vol. 581, ed. J. Integer Seqs., Vol. 3 (2000), #00-C.2 Raoult, Springer 1992, pp.4 24-48.

P. Blasiak, K. A. Penson and A. I. Solomon, <a href="http://dx.doi.org/10.1016/S0375-9601(03)00194-4">The general boson normal ordering problem</a>, Phys. Lett. A 309 (2003) 198-205.

W. Lang, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL3/LANG/lang.html">On generalizations of Stirling number triangles</a>, J. Integer Seqs., Vol. 3 (2000), #00.2.4.

#16 by Michel Marcus at Mon Jan 08 01:38:39 EST 2018

LINKS

W. Lang, <a href="httphttps://www.cs.uwaterloo.ca/journals/JIS/indexVOL3/LANG/lang.html">On generalizations of Stirling number triangles</a>, J. Integer Seqs., Vol. 3 (2000), #00.2.4.

P. Blasiak, K. A. Penson and A. I. Solomon, <a href="http://arXiv.org/abs/quant-ph/0402027">The general boson normal ordering problem.</a>, arXiv:quant-ph/0402027, 2004.

STATUS

proposed

editing