This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A286564 #15 Jun 10 2025 12:37:27
%S A286564 1,1,1,1,0,1,1,0,2,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,
%T A286564 3,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,
%U A286564 0,0,0,0,1,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1
%N A286564 Triangular table A286563 reversed.
%C A286564 See A286563.
%H A286564 Antti Karttunen, <a href="/A286564/b286564.txt">Table of n, a(n) for n = 1..7875; the first 125 rows of the triangle</a>
%e A286564 The first fifteen rows of this triangular table:
%e A286564 1,
%e A286564 1, 1,
%e A286564 1, 0, 1,
%e A286564 1, 0, 2, 1,
%e A286564 1, 0, 0, 0, 1,
%e A286564 1, 0, 0, 1, 1, 1,
%e A286564 1, 0, 0, 0, 0, 0, 1,
%e A286564 1, 0, 0, 0, 1, 0, 3, 1,
%e A286564 1, 0, 0, 0, 0, 0, 2, 0, 1,
%e A286564 1, 0, 0, 0, 0, 1, 0, 0, 1, 1,
%e A286564 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
%e A286564 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1,
%e A286564 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
%e A286564 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1,
%e A286564 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1
%t A286564 Table[If[k == 1, 1, IntegerExponent[n, k]], {n, 15}, {k, n, 1, -1}] // Flatten (* _Michael De Vlieger_, May 20 2017 *)
%o A286564 (Scheme) (define (A286564 n) (A286561bi (A002024 n) (A004736 n))) ;; For A286561bi see A286561.
%o A286564 (Python)
%o A286564 def T(n, k):
%o A286564 i=1
%o A286564 if k==1: return 1
%o A286564 while n%(k**i)==0:
%o A286564 i+=1
%o A286564 return i-1
%o A286564 for n in range(1, 21): print([T(n, k) for k in range(1, n + 1)] [::-1]) # _Indranil Ghosh_, May 20 2017
%Y A286564 Cf. A286561, A286563.
%Y A286564 Cf. A169594 (row sums).
%K A286564 nonn,tabl
%O A286564 1,9
%A A286564 _Antti Karttunen_, May 20 2017