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Search: id:A082023
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%I A082023
%S A082023 0,0,0,0,1,0,2,0,2,1,3,0,4,0,4,3,4,0,6,0,6,4,6,0,8,2,7,4,8,0,11,0,8,6,
%T A082023 9,5,12,0,10,7,12,0,15,0,12,10,12,0,16,3,15,9,14,0,18,7,16,10,15,0,22,
%U A082023 0,16,13,16,8,23,0,18,12,23,0,24,0,19,17,20,8,27,0,24,13,21,0,30,10,22
%N A082023 Number of partitions of n into 2 parts which are not relatively prime.
%C A082023 a(p) = 0 if p is prime.
%F A082023 a(n) = floor((n-phi(n)/2), where phi(n)=A000010(n) is Euler's totient 
               function. - Dean Hickerson (dean.hickerson(AT)yahoo.com), Apr 22 
               2003
%e A082023 a(14) = 4 and the partitions are (12,2), (10,4), (8,6) and (7,7).
%e A082023 a(13) = 0 as for all r + s = 13, r > 0, s > 0, gcd(r,s) = 1.
%Y A082023 Cf. A082024.
%Y A082023 Sequence in context: A159780 A055136 A074397 this_sequence A078152 A028932 
               A076473
%Y A082023 Adjacent sequences: A082020 A082021 A082022 this_sequence A082024 A082025 
               A082026
%K A082023 nonn
%O A082023 0,7
%A A082023 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 07 2003
%E A082023 More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 
               20 2003

    
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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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