[seqfan] Re: A little challenge

[Paul D Hanna]

Peter, 
   You meant to type [1, 2, 3, 4, ...] for row 0. 
As a further validation for any that want to try this, 
my program predicts that the next 4 rows begin: 
[1, 9, 115, 1922, 39597, 968624, 27407429, 879897348, 31581220687]
[1, 10, 143, 2680, 62013, 1705872, 54333217, 1965191524, 79524291987]
[1, 11, 174, 3613, 92744, 2832951, 100274470, 4033230317, 181603522854]
[1, 12, 208, 4739, 133615, 4486411, 174669967, 7731854648, 383320429534] 
 
I will send my formula for T(n,k) and program to you offlist. 
   Paul 
---------- Original Message ----------
From: Peter Luschny <peter.luschny at googlemail.com>
To: seqfan at list.seqfan.eu
Subject: [seqfan] A little challenge
Date: Sat, 3 Mar 2012 22:25:05 +0100

What is the general law of this rectangular array?

[1, 2,  4, ...]
[1, 3, 10,  41,  196,   1057,    6322,    41393,    293608]
[1, 4, 20, 127,  967,   8549,   85829,   962308,  11895252]
[1, 5, 33, 280, 2883,  34817,  481477,  7489454, 129259662]
[1, 6, 49, 518, 6689, 101841, 1783170, 35250562, 775700824]
[1, 7, 68, 859, 13310,243946, 5155512,123294103,3288775809]
[1, 8, 90,1321, 23851,510502,12622252,353704058,11070101343]
[...]

Preferably submit your comments (with some code, s'il vous plaît) to
https://groups.google.com/group/seqcomp/browse_thread/thread/c8c8725327093f95
I'm curious to see different approaches to such a problem.

Peter

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