A286248 Triangle A286249 reversed.

1, 2, 3, 4, 0, 3, 7, 0, 5, 10, 11, 0, 0, 0, 3, 16, 0, 0, 8, 5, 21, 22, 0, 0, 0, 0, 0, 3, 29, 0, 0, 0, 12, 0, 14, 36, 37, 0, 0, 0, 0, 0, 8, 0, 10, 46, 0, 0, 0, 0, 17, 0, 0, 5, 21, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 67, 0, 0, 0, 0, 0, 23, 0, 12, 19, 27, 78, 79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 92, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 5, 21, 106, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 0, 8, 0, 21

Offset: 1

Author

Antti Karttunen, May 06 2017

Keywords

• nonn
• tabl

Comments

See A286249.

Examples

			Triangle begins:
   1,
   2, 3,
   4, 0, 3,
   7, 0, 5, 10,
  11, 0, 0,  0, 3,
  ...
		

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10585; the first 145 rows of triangle/antidiagonals of array

Crossrefs

Transpose: A286249 (triangle reversed).

Programs

Python

from sympy import factorint
import math
def T(n, m): return ((n + m)**2 - n - 3*m + 2)//2
def P(n):
    f = factorint(n)
    return sorted([f[i] for i in f])
def a046523(n):
    x=1
    while True:
        if P(n) == P(x): return x
        else: x+=1
def t(n, k): return 0 if n%k!=0 else T(a046523(n//k), k)
for n in range(1, 21): print([t(n, k) for k in range(1, n + 1)][::-1]) # Indranil Ghosh, May 08 2017

Scheme

(define (A286248 n) (A286249tr (A002024 n) (A004736 n))) ;; For A286249tr, see A286249.

Formula

T(n,k) = A286249(k,n).