Search: id:A116865
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%I A116865
%S A116865 0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,
%T A116865 0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,
%U A116865 0,0,0,0,0,1,0,1,0,0,0
%N A116865 Characteristic array for partitions with only prime parts.
%C A116865 The row length sequence of this array is p(n)=A000041(n) (number of partitions).
%C A116865 The partitions of n are ordered according to Abramowitz-Stegun (A-St), 
               pp. 831-2.
%H A116865 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.nrbook.com/
               abramowitz_and_stegun/">Handbook of Mathematical Functions</a>, National 
               Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 
               [alternative scanned copy].
%H A116865 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/
               Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</
               a>, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 
               1972.
%H A116865 W. Lang: <a href="http://www-itp.physik.uni-karlsruhe.de/~wl/EISpub/A116865.text">
               First 10 rows.</a>
%F A116865 a(n,k)= 1 if the k-th partition of n, in the Abramowitz-Stegun order, 
               has only prime parts, else 0. See A000040 for the prime numbers.
%e A116865 [0];[1, 0]; [1, 0, 0]; [0, 0, 1, 0, 0]; [1, 0, 1, 0, 0, 0, 0]; ...
%e A116865 a(4,3)=1 because the third partition of 4 is, in A-St order, (2,2)
%e A116865 which has only prime numbers as parts. Each of the other four partitions 
               of 4
%e A116865 has at least one part which is not a prime number.
%Y A116865 See also array A116864.
%Y A116865 Row sums give A000607(n), n>=1.
%Y A116865 Sequence in context: A156259 A038219 A138710 this_sequence A157687 A127266 
               A083923
%Y A116865 Adjacent sequences: A116862 A116863 A116864 this_sequence A116866 A116867 
               A116868
%K A116865 nonn,easy,tabf
%O A116865 1,1
%A A116865 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Mar 24 
               2006

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