Number sequence

[anto]

probably smaller

[Pyrotex]

Using about the algorithm Pyro describes... Still, I don’t think this is what the target sequences inventor intends – it doesn’t quite seem to satisfy the “any 5th grader could do it” criterion....

I agree. I've given up on that approach.

[max4236]

1
1 2
3 2 3
3 4 3 4
5 4 5 4 5
5 6 5 6 5 6

1  1  2  3  2  3  3  4  3  4  5  4  5  4  5  
0  2  4  6  8 10 12 14 16 18 20 22 24 26 28

p=# of primes used in sum s, x=product of the primes                        
p  s          | x       ->1,2,4,8,15,30,50,100,98,375..
1  0 1(not p.)|         1    
1  2=2        | 2      =2
2  4=2+2      | 2*2    =4      
3  6=2+2+2    | 2*2*2  =8
2  8=5+3      | 5*3    =15 
3 10=5+3+2    | 5*3*2  =30 
3 12=5+5+2    | 5*5*2  =50
4 14=5+5+2+2  | 5*5*2*2=100
3 16=11+3+2   | 11*3*2 =66
            or
  16=7+7+2      7*7*2  =98 <-? 
4 18=11+3+2+2 | 11*3*2*2=132
            or
    7+7+2+2    7*7*2*2=196 
           or           
    7+5+3+3    7*5*3*3=315 
           or
    5+5+5+3    5*5*5*3=375 <-??
5 20=11+3+2+2+2   
.
.
.
ack..
------------------------
14 (4)
7 3 2 2  84
5 5 2 2 100<- 100>84>45   
5 3 3 3  45

12 (3)
7 3 2  42
5 5 2  50<- 50>42

[anto]

I actually tied that method and a smiliar one using prime numbers, none worked B). So 66 is not the right anwer, I don't know about 98 though.

[Pyrotex]

I LIKE it!!!!!!!!!!!!!!!!!

Tha's what I'm talking about!!!!!!!!!!!

[max4236]

pattern of triangle numbers? ((n+1)n/2):

1      3        6    ***    28  *     45  **    78  ***   136

153    171    190    ***   276  *    325  **   406  ***   528

561    595    630    ***   780  *    861  **   990  ***  1176

1225  1275   1326    ***  1540  *   1653  **  1830  ***  2080

(###*** #*#**#***#  ?)



social media is based in binary:

 tri#  128    64    32    16    8     4     2     1   

   1    0     0     0     0     0     0     0     1     64

   3    0     0     0     0     0     0     1     1     32

   6    0     0     0     0     0     1     1     0     16 

  28    0     0     0     1     1     1     0     0      8

  45    0     0     1     0     1     1     0     1      4

  78    0     1     0     0     1     1     1     0      2

 136    1     0     0     0     1     0     0     0      1

    ------------------------------------------------------------

        1     2     4     8    15    30    50    100 



maybe this is next:

tri#   512   256   128    64    32   16     8     4     2     1         

153     0     0     1     0     0     1     1     0     0     1   64

171     0     0     1     0     1     0     1     0     1     1   32

190     0     0     1     0     1     1     1     1     1     0   16

276     0     1     0     0     0     1     0     1     0     0    8

325     0     1     0     1     0     0     0     1     0     1    4

406     0     1     1     0     0     1     0     1     1     0    2

528     1     0     0     0     0     1     0     0     0     0    1

   ------------------------------------------------------------------------

        1    14   114     4    48     91   112    30   50   100     

(1<150)





                          1    2    4    8    15   30   50    100

                1   14  114    4   48   91   112   30   50    100

          1   126   14    3   54   80  119    15   30   50    100

     1  126    14   18   96  100   55   36   112   30   50    100

...



1,2,4,8,15,30,50,100, 1,14,114,4,48,91,112,30,100, 1,126,14,3,54,80,119,15,....

Edited February 9, 2016 by max4236