|
|
A355926
|
|
Square array A(n,k) = A355442(A246278(n,k)), read by falling antidiagonals.
|
|
4
|
|
|
3, 9, 1, 5, 5, 1, 3, 5, 1, 1, 3, 125, 7, 1, 1, 5, 5, 343, 1, 1, 1, 3, 175, 7, 11, 1, 1, 1, 9, 1, 49, 1, 1, 1, 1, 1, 25, 125, 7, 121, 1, 1, 1, 1, 1, 3, 245, 2401, 1, 1, 1, 1, 1, 1, 1, 3, 1, 77, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 49, 11, 28561, 1, 1, 1, 1, 1, 1, 1, 3, 175, 7, 121, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 5, 77, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
EXAMPLE
|
The top left corner of the array:
n= 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
2n= 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
----+--------------------------------------------------------------------------
1 | 3, 9, 5, 3, 3, 5, 3, 9, 25, 3, 3, 5, 3, 9, 7, 3,
2 | 1, 5, 5, 125, 5, 175, 1, 125, 245, 1, 5, 175, 5, 5, 35, 1,
3 | 1, 1, 7, 343, 7, 49, 7, 2401, 77, 49, 7, 77, 7, 49, 77, 16807,
4 | 1, 1, 1, 11, 1, 121, 1, 1, 11, 121, 1, 17303, 1, 121, 11, 1331,
5 | 1, 1, 1, 1, 1, 1, 1, 28561, 1, 1, 1, 2197, 1, 1, 13, 28561,
6 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 17, 1, 1, 1, 1419857,
7 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 361,
8 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
9 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
|
|
PROG
|
(PARI)
up_to = 105;
A003961(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); };
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A246278sq(row, col) = if(1==row, 2*col, my(f = factor(2*col)); for(i=1, #f~, f[i, 1] = prime(primepi(f[i, 1])+(row-1))); factorback(f));
A355926sq(row, col) = A355442(A246278sq(row, col));
A355926list(up_to) = { my(v = vector(up_to), i=0); for(a=1, oo, for(col=1, a, i++; if(i > up_to, return(v)); v[i] = A355926sq(col, (a-(col-1))))); (v); };
v355926 = A355926list(up_to);
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|