Matt C Anderson

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These are questions asked by Matt C Anderson

Hi all,

For what its worth,
I want to make a graph of data.
Attached is file to show how far I got.

multiplication_table_list_to_graph.mw

 

multiplication_table_list_to_graph.pdf

 

Regards,
Matthew
 

HI all,

 

Let all variables be integers here.

I am trying to search 3 variables , "A","B",and "C" so that f(A*x2+B*x+C) factors into two binomials.

Here, f(y) = y2+y+19.

Choose a search space of 0<A<10 and 0<B<30 and 0<C<100.  

I am having some trouble with my Maple code.

Here is how far I got - 

Maple_coefficient_search_broken.mw

Maple_coefficient_search_broken.pdf

Regards,

Matt

 

We conjecture that the polynomial h(n) = n^2 + n + 41 is prime for an infinite number of values n.
We furthur conjecture that p(n) = n^2 + 1 is prime an infinite number of times.

I have shown that the set (x,y) with h(y) mod x is congruent to 0 can be written down.  It is p(x,y).  p(x,y) is the set of all divisors of h(n).  See

https://sites.google.com/site/primeproducingpolynomial/

landau.mw

Regards,

Matt

HI MaplePrimes,

The input -

rsolve(f(n)=f(n-1)+10*f(n-2),f(k))

returns a large expression.

My had calculations reduce this to

f(k) = [(41-19*sqrt(41))/820]*[((1-sqrt(41))/2)^k+((1+sqrt(41))/2)^k)].

There may be an error.

We let f(1)=1 and f(2)=2.

The sequence, starting with 1 should read -

1,2,12,32,152,472,...

What is the correct expression for f(k)?

 

Regards,

Matt

Hi Mapleprimes people and robots,


My question is regarding a recursive sequence.  It can be defined non-recursively as - 


a(r) :=  0.8*3^r + 0.2*(-2)^r.

The first few terms are - 

1,2,8,20,68,188, and so on.

Here is my Maple Worksheet.
recursive_sequence_A133467.mw      recursive_sequence_A133467.pdf

I want some Maple code that will produce 30 terms of this sequence.  It is defined as

s[1]:=1:
s[2]:=2:

for n>2 we let s[n] = s[n-1] + 6*s[n-2].

Let me know if my question does not make sense.

Regards,
Matt

 

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