The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A134285 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A134285

Triangle of numbers obtained from the partition array A134284.
(history; published version)

#17 by Wolfdieter Lang at Wed Aug 28 18:00:57 EDT 2019

STATUS

editing

approved

#16 by Wolfdieter Lang at Wed Aug 28 18:00:55 EDT 2019

LINKS

Wolfdieter Lang, <a href="/LANGCHANGE/A134285/a134285.texttxt">First 10 rows and more. </a>

STATUS

approved

editing

#15 by N. J. A. Sloane at Wed Aug 28 09:25:24 EDT 2019

LINKS

Wolfdieter Lang, <a href="http://www.itp.kit.edu/~wl/EISpubLANGCHANGE/A134285.text">First 10 rows and more. </a>

Discussion

Wed Aug 28

09:25

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

#14 by Michel Marcus at Thu Apr 28 11:21:22 EDT 2016

STATUS

reviewed

approved

#13 by Joerg Arndt at Thu Apr 28 10:39:54 EDT 2016

STATUS

proposed

reviewed

#12 by Joerg Arndt at Thu Apr 28 01:53:19 EDT 2016

STATUS

editing

proposed

#11 by Joerg Arndt at Thu Apr 28 01:52:44 EDT 2016

EXAMPLE

[1];[3,1];[10,3,1];[35,19,3,1];[126,65,19,3,1];...

First few rows of the triangle are:

Triangle starts:

1;

2, 3, 1;

5, 4, 10, 3, 1;

14, 13, 7, 35, 19, 3, 1;

42, 41, 31, 11, 126, 65, 19, 3, 1;

132, 131, 116, 66, 16, 1;

429, 428, 407302, 127, 22, 1;

STATUS

proposed

editing

#10 by Michel Marcus at Wed Apr 27 11:10:41 EDT 2016

STATUS

editing

proposed

#9 by Michel Marcus at Wed Apr 27 11:09:41 EDT 2016

LINKS

W. Wolfdieter Lang, <a href="http://www.itp.kit.edu/~wl/EISpub/A134285.text">First 10 rows and more. </a>

FORMULA

a(n,m) = sum(product(s2(3;j,1)^e(n,m,q,j),j=1..n),k=1..p(n,m)) if n>=m>=1, else 0. Here p(n,m)=A008284(n,m), the number of m parts partitions of n and e(n,m,q,j) is the exponent of j in the q-th m part partition of n. s2(3;n,1) = A035324(n,1) = A001700(n-1) = binomial(2*n-1,n).

Row sums = A001700. Triangle A134285 = A001263 * A000012 . - Gary W. Adamson, Nov 19 2007

AUTHOR

Wolfdieter Lang , Nov 13 2007

STATUS

proposed

editing

Discussion

Wed Apr 27

11:10

Michel Marcus: I think the trianle should have 407, 302 instead of 407302 and was intended for A104710

#8 by Andrew Howroyd at Wed Apr 27 11:06:11 EDT 2016

STATUS

editing

proposed