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A136568 Irregular triangle read by rows: row n contains the distinct values (in numerical order) making up the nonzero exponents in the prime-factorization of n. (Row 1 = (0).). 2

%I #12 Aug 09 2015 23:29:37

%S 0,1,1,2,1,1,1,3,2,1,1,1,2,1,1,1,4,1,1,2,1,1,2,1,1,1,1,3,2,1,3,1,2,1,

%T 1,1,5,1,1,1,2,1,1,1,1,3,1,1,1,1,2,1,2,1,1,1,4,2,1,2,1,1,2,1,1,3,1,1,

%U 3,1,1,1,1,2,1,1,1,2,6,1,1,1,1,2,1,1

%N Irregular triangle read by rows: row n contains the distinct values (in numerical order) making up the nonzero exponents in the prime-factorization of n. (Row 1 = (0).).

%C Row n, for n>=2, contains A071625(n) terms.

%H Harvey P. Dale, <a href="/A136568/b136568.txt">Table of n, a(n) for n = 1..1000</a>

%e 4200 = 2^3 * 3^1 * 5^2 * 7^1. The exponents of the prime factorization are therefore 3,1,2,1. Therefore row 4200 is (1,2,3).

%t Join[{0},Flatten[Rest[Table[Union[Transpose[FactorInteger[n]][[2]]],{n,100}]]]] (* _Harvey P. Dale_, Mar 19 2013 *)

%Y Cf. A071625, A136565.

%K nonn,tabf

%O 1,4

%A _Leroy Quet_, Jan 07 2008

%E More terms from _Harvey P. Dale_, Mar 19 2013

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Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)