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

1,2

Comments

See A286249.

Links

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

Formula

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

Prog

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

Crossrefs

Transpose: A286249 (triangle reversed).

Sequence in context: A162593 A279125 A011025 * A286247 A203571 A199511

Adjacent sequences: A286245 A286246 A286247 * A286249 A286250 A286251

Keyword

nonn,tabl

Author

Antti Karttunen, May 06 2017

Status

approved