m\k |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
.. |
|
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
. |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
. |
3 |
2 |
0 |
0 |
2 |
6 |
14 |
20 |
20 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
. |
62 |
3 |
0 |
0 |
0 |
6 |
36 |
150 |
450 |
1050 |
1680 |
1680 |
0 |
0 |
0 |
0 |
0 |
0 |
. |
5052 |
4 |
0 |
0 |
0 |
0 |
24 |
240 |
1560 |
7560 |
29400 |
90720 |
218400 |
369600 |
369600 |
0 |
0 |
0 |
. |
10871804 |
5 |
0 |
0 |
0 |
0 |
0 |
120 |
1800 |
16800 |
117600 |
667880 |
3137400 |
12243000 |
38880800 |
96096000 |
168168000 |
168168000 |
. |
487424520 |
.. |
. |
. |
. |
. |
. |
. |
. |
. |
. |
. |
. |
. |
. |
|
1 |
1 |
3 |
13 |
74 |
530 |
4550 |
. |
. |
My sequence
Take a look at the last column of the tables above we can see that:
- -A001515
- -A144416
- that is A105749
- that is A144422
and if we show the last row of the tables we can see that:
- -A000085
- -A001680
- -A080599
- From [1] we can see that last sequence is not in database of OEIS
I think that before proclaiming the authorship for this sequence I needs help and instruction step by step from administrators.
-
Hello Adi, nice work! Since you draw my attention to this page on my user talk page I will try to give you some hints how you can proceed next (though notice that I am not an administrator or an editor). Since you have already all the important pieces gathered (recurrence, generating function, etc.) you just have to bring them into the format required for a database entry. The submission form looks similar to this form. This page is a dummy only but it gives you the opportunity to consider the submission items as they are required. So you might write up the entries in advance (they can later be filled into the real submission form by copy and paste). After you have written such a draft you can show it here if you want further comments before you submit. Peter Luschny 11:52, 25 April 2011 (UTC)
Mathematica formula
Table[Sum[k!m!/(2^(k+j-2m)3^(m-j)(m-j)!(k+2j-3m)!(3m-j-k)!),{m,0,k},{j,0,3m-k}],{k,0,20}]
A078012
A078012
Sequence of the Day for a day in September?
Would you like to choose the Template:Sequence of the Day for September 6 and write a couple of words about it? Alonso del Arte 00:33, 31 May 2011 (UTC)
Notation for sets
In User:Adi Dani#Note on notations, you have the set identified with italic capital letters
- (1)...... the set of natural numbers
- (2)......
- (3)......
- (4)......
- (5)......
- (6)......
- (7)......
:(1)......<math>N=\{0,1,2,...\}\,</math> the set of natural numbers
:(2)......<math>I_{a}^{b}=\{x:b\le x<a, x\in N\}\,</math>
:(3)......<math>I_{a}^{0}=I_{a}\,</math>
:(4)......<math>I_{a+1}^{1}=N_{a} \,</math>
:(5)......<math>I_{\infty}^{b}=I^{b} \,</math>
:(6)......<math>O=\{x: x=2n+1,n\in N\}\,</math>
:(7)......<math>E=\{x: x=2n, n\in N\}\,</math>
although the usual convention is not to use italic letters (and to use blackboard, i.e. double stroke, letters for many standard sets)
- the set of natural numbers
-
-
-
-
-
-
# <math>\mathbb{N} = \{ 0, 1, 2, \ldots \} \,</math> the set of [[natural numbers]]
# <math>{\rm I}_{a}^{b} = \{ x: b \le x < a, x \in \mathbb{N} \} \,</math>
# <math>{\rm I}_{a}^{0} = {\rm I}_{a} \,</math>
# <math>{\rm I}_{a+1}^{1} = \mathbb{N}_{a} \,</math>
# <math>{\rm I}_{\infty}^{b} = {\rm I}^{b} \,</math>
# <math>\mathbb{O} = \{ x: x = 2n+1, n \in \mathbb{N} \} \,</math>
# <math>\mathbb{E} = \{ x: x = 2n, n \in \mathbb{N} \} \,</math>
— Daniel Forgues 01:54, 15 June 2011 (UTC)
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