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Define the signature symmetry of a number n to be k if n-r and n+r have the same prime signature for r = 1 to k but not for k+1. Sequence contains the signature symmetry of n.
5

%I #5 Jul 15 2018 13:06:55

%S 0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,

%T 0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,

%U 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0

%N Define the signature symmetry of a number n to be k if n-r and n+r have the same prime signature for r = 1 to k but not for k+1. Sequence contains the signature symmetry of n.

%C Subsidiary sequence: Index of the first occurrence of n in this sequence.

%e a(12) = 2 as 11 and 13 are both prime 10 and 14 both have prime signature p*q but 9 and 15 have distinct prime signature.

%Y Cf. A093489, A093491, A093492.

%K nonn

%O 1,12

%A _Amarnath Murthy_, Apr 16 2004

%E More terms from _Joshua Zucker_, Jul 24 2006