The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A154380 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A154380

The Riordan square of the Bell numbers. Triangle T(n, k), 0 <= k <= n, read by rows.
(history; published version)

#22 by Susanna Cuyler at Sat Jun 15 07:24:47 EDT 2019

STATUS

proposed

approved

#21 by Michel Marcus at Sat Jun 15 03:06:05 EDT 2019

STATUS

editing

proposed

#20 by Michel Marcus at Sat Jun 15 03:06:03 EDT 2019

LINKS

P. Paul Barry, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL12/Barry3/barry93.html">Continued fractions and transformations of integer sequences</a>, JIS 12 (2009) 09.7.6.

STATUS

proposed

editing

#19 by Jean-François Alcover at Sat Jun 15 03:03:17 EDT 2019

STATUS

editing

proposed

#18 by Jean-François Alcover at Sat Jun 15 03:03:13 EDT 2019

MATHEMATICA

RiordanSquare[gf_, len_] := Module[{T}, T[n_, k_] := T[n, k] = If[k == 0, SeriesCoefficient[gf, {x, 0, n}], Sum[T[j, k - 1] T[n - j, 0], {j, k - 1, n - 1}]]; Table[T[n, k], {n, 0, len - 1}, {k, 0, n}]];

RiordanSquare[Sum[x^k/Product[1 - j x, {j, 1, k}], {k, 0, 10}], 10] (* Jean-François Alcover, Jun 15 2019, from Maple *)

STATUS

approved

editing

#17 by Peter Luschny at Fri Dec 14 10:47:33 EST 2018

STATUS

editing

approved

#16 by Peter Luschny at Fri Dec 14 10:47:26 EST 2018

LINKS

P. Barry, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL12/Barry3/barry93.html">Continued fractions and transformations of integer sequences</a>, JIS 12 (2009) 09.7.6.

STATUS

approved

editing

#15 by Peter Luschny at Fri Dec 07 17:50:31 EST 2018

STATUS

editing

approved

#14 by Peter Luschny at Fri Dec 07 17:50:15 EST 2018

MAPLE

RiordanSquare(add(x^k/mul(1-j*x, j=1..k), k=0..10), 10); # _Peter Luschny_, Dec 06 2018

STATUS

approved

editing

#13 by Susanna Cuyler at Fri Dec 07 07:56:04 EST 2018

STATUS

proposed

approved