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Search: id:A034850
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| A034850 |
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Triangular array formed by taking every other term of Pascal's triangle. |
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+0
2
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| 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, 120, 252, 120, 10, 1, 55, 330, 462, 165, 11, 1, 66, 495, 924, 495, 66, 1, 13, 286, 1287, 1716, 715, 78, 1, 14, 364, 2002, 3432, 2002, 364, 14, 1, 105, 1365, 5005, 6435
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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D. Dumont and J. Zeng, Polynomes d'Euler et les fractions continues de Stieltjes-Rogers, Ramanujan J. 2 (1998) 3, 387-410.
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EXAMPLE
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Triangle begins:
1;
1;
2;
1,3;
1,6,1;
5,10,1;
6,20,6;
1,21,35,7;
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PROGRAM
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(PARI) T(n, k)=if(k<0|k>n\4+(n+1)\4, 0, binomial(n, 2*k+(n+1)\2%2))
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CROSSREFS
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a(n)=A007318(2n) if both are regarded as integer sequences.
Bisection of A007318. Cf. A034839.
Sequence in context: A022458 A084419 A119606 this_sequence A145969 A140352 A082588
Adjacent sequences: A034847 A034848 A034849 this_sequence A034851 A034852 A034853
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KEYWORD
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nonn,easy,tabf
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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