Search: id:A062602
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%I A062602
%S A062602 0,0,1,1,0,2,1,2,2,1,4,3,3,3,4,2,6,3,5,4,6,3,8,3,7,4,9,5,9,4,8,7,9,4,
%T A062602 11,3,11,9,10,6,12,5,11,8,12,7,14,5,13,7,15,9,15,6,14,10,16,9,16,5,15,
%U A062602 13,16,8,18,6,18,15,17,9,19,8,18,12,19,11,21,7,21,14,20,13,22,7,21,14
%N A062602 Number of ways of writing n = p+c with p prime and c nonprime (1 or a 
               composite number).
%H A062602 <a href="Sindx_Go.html#Goldbach">Index entries for sequences related 
               to Goldbach conjecture</a>
%F A062602 a(n+1) = SUM(A010051(k)*A005171(n-k+1): 1<=k<=n). [From Reinhard Zumkeller 
               (reinhard.zumkeller(AT)gmail.com), Nov 05 2009]
%e A062602 n = 22 has Floor[n/2] = 11 partitions of form n = a+b; 3 partitions are 
               of prime+prime [3+19 = 5+17 = 11+11], 3 partitions are of prime+nonprime 
               [2+20 = 7+15 = 13+9], 5 partitions are nonprime+nonprime [1+21 = 
               4+18 = 6+16 = 8+14 = 10+12]. So a(22) = 3.
%Y A062602 Cf. A061358, A014092, A062610.
%Y A062602 Sequence in context: A035436 A035369 A129719 this_sequence A123148 A166548 
               A134997
%Y A062602 Adjacent sequences: A062599 A062600 A062601 this_sequence A062603 A062604 
               A062605
%K A062602 nonn
%O A062602 1,6
%A A062602 Labos E. (labos(AT)ana.sote.hu), Jul 04 2001

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