The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A049353 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A049353

A triangle of numbers related to triangle A030526.
(history; published version)

#47 by Wolfdieter Lang at Wed Aug 28 16:41:51 EDT 2019

STATUS

editing

approved

#46 by Wolfdieter Lang at Wed Aug 28 16:41:46 EDT 2019

LINKS

W. Lang, <a href="/LANGCHANGE/A049353/a049353.texttxt">First ten rows. </a>

STATUS

approved

editing

#45 by N. J. A. Sloane at Wed Aug 28 09:25:22 EDT 2019

LINKS

W. Lang, <a href="http://www.itp.kit.edu/~wl/EISpubLANGCHANGE/A049353.text">First ten rows. </a>

Discussion

Wed Aug 28

09:25

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

#44 by Susanna Cuyler at Wed Jul 04 08:56:06 EDT 2018

STATUS

proposed

approved

#43 by Michel Marcus at Wed Jul 04 06:30:16 EDT 2018

STATUS

editing

proposed

#42 by Michel Marcus at Wed Jul 04 06:30:14 EDT 2018

FORMULA

a(n,k) = (n!*sum(j=1..k, (-1)^(k-j)*binomial(k,j)*binomial(n+4*j-1,4*j-1)))/(4^k*k!). - Vladimir Kruchinin, Apr 01 2011

STATUS

proposed

editing

#41 by Jon E. Schoenfield at Wed Jul 04 05:52:11 EDT 2018

STATUS

editing

proposed

#40 by Jon E. Schoenfield at Wed Jul 04 05:52:09 EDT 2018

PROG

(Maxima) a(n, k):=(n!*sum((-1)^(k-j)*binomial(k, j)*binomial(n+4*j-1, 4*j-1), j, 1, k))/(4^k*k!); [From _/* _Vladimir Kruchinin_, Apr 01 2011] */

STATUS

approved

editing

#39 by Michel Marcus at Sat Jun 23 06:08:40 EDT 2018

STATUS

editing

approved

#38 by Michel Marcus at Sat Jun 23 06:08:36 EDT 2018

MATHEMATICA

a[n_, m_] /; n >= m >= 1 := a[n, m] = (4m + n - 1)*a[n-1, m] + a[n-1, m-1]; a[n_, m_] /; n < m = 0; a[_, 0] = 0; a[1, 1] = 1; Flatten[Table[a[n, m], {n, 1, 9}, {m, 1, n}]] (* From __Jean-François Alcover_, Jul 22 2011 *)

STATUS

reviewed

editing