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A034850 Triangular array formed by taking every other term of Pascal's triangle. 1
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; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..64.

D. Dumont and J. Zeng, Polynomes d'Euler et les fractions continues de Stieltjes-Rogers, Ramanujan J. 2 (1998) 3, 387-410.

FORMULA

a(n) = A007318(2n) if both are regarded as integer sequences. - Michael Somos, Feb 11 2004

EXAMPLE

Triangle begins:

1;

1;

2;

1,3;

1,6,1;

5,10,1;

6,20,6;

1,21,35,7;

PROG

(PARI) {T(n, k) = if( k<0 || k>n\4 + (n+1)\4, 0, binomial(n, 2*k + (n+1)\2%2))}; /* Michael Somos, Feb 11 2004 */

CROSSREFS

Cf. A007318, A034839.

Sequence in context: A022458 A084419 A119606 * A220377 A145969 A140352

Adjacent sequences:  A034847 A034848 A034849 * A034851 A034852 A034853

KEYWORD

nonn,easy,tabf

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified November 24 04:08 EST 2014. Contains 249867 sequences.