Search: id:A034850
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%I A034850
%S A034850 1,1,2,1,3,1,6,1,5,10,1,6,20,6,1,21,35,7,1,28,70,28,1,9,84,126,36,1,10,
%T A034850 120,252,120,10,1,55,330,462,165,11,1,66,495,924,495,66,1,13,286,1287,
%U A034850 1716,715,78,1,14,364,2002,3432,2002,364,14,1,105,1365,5005,6435
%N A034850 Triangular array formed by taking every other term of Pascal's triangle.
%H A034850 D. Dumont and J. Zeng, <a href="http://igd.univ-lyon1.fr/home/zeng/public_html/
               paper/publication.html">Polynomes d'Euler et les fractions continues 
               de Stieltjes-Rogers</a>, Ramanujan J. 2 (1998) 3, 387-410.
%e A034850 Triangle begins:
%e A034850 1;
%e A034850 1;
%e A034850 2;
%e A034850 1,3;
%e A034850 1,6,1;
%e A034850 5,10,1;
%e A034850 6,20,6;
%e A034850 1,21,35,7;
%o A034850 (PARI) T(n,k)=if(k<0|k>n\4+(n+1)\4,0,binomial(n,2*k+(n+1)\2%2))
%Y A034850 a(n)=A007318(2n) if both are regarded as integer sequences.
%Y A034850 Bisection of A007318. Cf. A034839.
%Y A034850 Sequence in context: A022458 A084419 A119606 this_sequence A145969 A140352 
               A082588
%Y A034850 Adjacent sequences: A034847 A034848 A034849 this_sequence A034851 A034852 
               A034853
%K A034850 nonn,easy,tabf
%O A034850 0,3
%A A034850 N. J. A. Sloane (njas(AT)research.att.com).

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