OFFSET
1,1
FORMULA
T(n,1) = prime(n).
T(n,n) = 2^n.
EXAMPLE
Table starts:
2;
3, 4;
5, 6, 8;
7, 10, 12, 16;
11, 15, 20, 24, 32;
13, 25, 30, 40, 48, 64;
17, 35, 50, 60, 80, 96, 128;
19, 55, 75, 100, 120, 160, 192, 256;
23, 77, 125, 150, 200, 240, 320, 384, 512;
29, 121, 175, 250, 300, 400, 480, 640, 768, 1024;
31, 143, 275, 375, 500, 600, 800, 960, 1280, 1536, 2048;
...
The ways of representing 6 as a sum of 3 positive integers are 6 = 1 + 1 + 4, 6 = 1 + 2 + 3, and 6 = 2 + 2 + 2. Since prime(1)*prime(2)*prime(3) = 2*3*5 = 30 is greater than both prime(1)*prime(1)*prime(4) = 2*2*7 = 28 and prime(2)*prime(2)*prime(2) = 3*3*3 = 27, T(6,3) = 30. - Michael B. Porter, Jul 28 2016
PROG
(PARI) T(n, k) = if(k>n, 1, if(k==1, prime(n), vecmax(vector(n-1, i, T(n-i, k-1) * prime(i)))))
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
David A. Corneth, Jun 30 2016
STATUS
approved