Search: id:A038759
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%I A038759
%S A038759 0,1,2,2,4,6,6,6,6,9,12,12,12,12,12,12,16,20,20,20,20,20,20,20,20,25,
%T A038759 30,30,30,30,30,30,30,30,30,30,36,42,42,42,42,42,42,42,42,42,42,42,42,
%U A038759 49,56,56,56,56,56,56,56,56,56,56,56,56,56,56,64,72,72,72,72,72,72,72
%N A038759 ceiling[sqrt(n)] * floor[sqrt(n)].
%C A038759 a(n)=n iff n is a square or a pronic (or heteromecic) number of form 
               k(k+1). The sequence interleaves individual squares with 2k copies 
               of each pronic.
%F A038759 a(n) =A003059(n)*A000196(n) =n-A038760(n)
%e A038759 a(31)=30 since 6 and 5 are either side of the square root of 31 and 6*5=30
%Y A038759 Cf. A002378, A053187.
%Y A038759 Sequence in context: A078099 A118960 A107797 this_sequence A045999 A075569 
               A062722
%Y A038759 Adjacent sequences: A038756 A038757 A038758 this_sequence A038760 A038761 
               A038762
%K A038759 nonn
%O A038759 0,3
%A A038759 Henry Bottomley (se16(AT)btinternet.com), May 03 2000

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