Search: id:A142705
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%I A142705
%S A142705 0,3,2,15,6,35,12,63,20,99,30,143,42,195,56,255,72,323,90,399,110,483,
%T A142705 132,575,156,675,182,783,210,899,240,1023,272,1155,306,1295,342,1443,
%U A142705 380,1599,420,1763,462,1935,506,2115,552,2303,600,2499,650,2703,702
%N A142705 First bisection of A061037.
%C A142705 Read modulo 10 (the last digits), a sequence with period length 10 results: 
               0, 3, 2, 5, 6, 5, 2, 3, 0, 9. Read modulo 9, a sequence with period 
               length 18 results.
%F A142705 a(n) = A061037(2n). a(n)= A070260(n-1), n>1.
%F A142705 a(n) = 3a(n-2)-3a(n-4)+a(n-6).
%F A142705 a(2^(n-1)) = a(1+A000225(n-1)) = 4^(n-1)-1 = A024036(n-1).
%F A142705 a(n)=-(3/4)*(-1)^n*n-(3/8)*(-1)^n*n^2+(5/8)*n^2+(5/4)*n, with n>=0 [From 
               Paolo P. Lava (ppl(AT)spl.at), Sep 29 2008]
%F A142705 G.f.: x^2*(3+2x+6x^2-x^4)/(1-x^2)^3. - R. J. Mathar, Oct 24 2008
%Y A142705 Cf. A078371 (second bisection of A061037), A142888 (first differences).
%Y A142705 Sequence in context: A068310 A033314 A070260 this_sequence A072346 A103236 
               A141235
%Y A142705 Adjacent sequences: A142702 A142703 A142704 this_sequence A142706 A142707 
               A142708
%K A142705 nonn
%O A142705 1,2
%A A142705 Paul Curtz (bpcrtz(AT)free.fr), Sep 24 2008
%E A142705 Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 24 2008

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