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A120616
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Generalized Riordan array (1/sqrt(1+4x^2),(1-sqrt(1+4x^2))/(2x)).
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1
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1, 0, -1, -2, 0, 1, 0, 3, 0, -1, 6, 0, -4, 0, 1, 0, -10, 0, 5, 0, -1, -20, 0, 15, 0, -6, 0, 1, 0, 35, 0, -21, 0, 7, 0, -1, 70, 0, -56, 0, 28, 0, -8, 0, 1, 0, -126, 0, 84, 0, -36, 0, 9, 0, -1, -252, 0, 210, 0, -120, 0, 45, 0, -10, 0, 1
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OFFSET
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0,4
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COMMENTS
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abs(T(n,k)) is A108044. Product by A007318 is A104505.
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LINKS
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Table of n, a(n) for n=0..65.
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FORMULA
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Number triangle T(n,k)=C(n,(n+k)/2)(-1)^((n+k)/2)(1+(-1)^(n+k))/2
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EXAMPLE
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Triangle begins
.1,
.0, -1,
.-2, 0, 1,
.0, 3, 0, -1,
.6, 0, -4, 0, 1,
.0, -10, 0, 5, 0, -1,
.-20, 0, 15, 0, -6, 0, 1,
.0, 35, 0, -21, 0, 7, 0, -1,
.70, 0, -56, 0, 28, 0, -8, 0, 1,
.0, -126, 0, 84, 0, -36, 0, 9, 0, -1,
.-252, 0, 210, 0, -120, 0, 45, 0, -10, 0, 1
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CROSSREFS
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Sequence in context: A320602 A134511 A112554 * A108044 A104477 A224928
Adjacent sequences: A120613 A120614 A120615 * A120617 A120618 A120619
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Paul Barry, Jun 17 2006
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STATUS
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approved
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