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A127753 Inverse of number triangle A(n,k)=if(k<=n,if(n<=2k,1/L(n+1),0),0), L(n)=A000032(n). +0
2
1, 0, 3, 0, -3, 4, 0, 3, -4, 7, 0, 0, 0, -7, 11, 0, -3, 4, 0, -11, 18, 0, 0, 0, 0, 0, -18, 29, 0, 3, -4, 7, 0, 0, -29, 47, 0, 0, 0, 0, 0, 0, 0, -47, 76, 0, 0, 0, -7, 11, 0, 0, 0, -76, 123, 0, 0, 0, 0, 0, 0, 0, 0, 0, -123, 199, 0, -3, 4, 0, -11, 18, 0, 0 (list; table; graph; listen)
OFFSET

0,3

COMMENT

Row sums are A127754.

EXAMPLE

Triangle begins

1,

0, 3,

0, -3, 4,

0, 3, -4, 7,

0, 0, 0, -7, 11,

0, -3, 4, 0, -11, 18,

0, 0, 0, 0, 0, -18, 29,

0, 3, -4, 7, 0, 0, -29, 47,

0, 0, 0, 0, 0, 0, 0, -47, 76,

0, 0, 0, -7, 11, 0, 0, 0, -76, 123,

0, 0, 0, 0, 0, 0, 0, 0, 0, -123, 199,

0, -3, 4, 0, -11, 18, 0, 0, 0, 0, -199, 322,

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -322, 521

Inverse of triangle

1,

0, 1/3,

0, 1/4, 1/4,

0, 0, 1/7, 1/7,

0, 0, 1/11, 1/11, 1/11,

0, 0, 0, 1/18, 1/18, 1/18,

0, 0, 0, 1/29, 1/29, 1/29, 1/29,

0, 0, 0, 0, 1/47, 1/47, 1/47, 1/47,

0, 0, 0, 0, 1/76, 1/76, 1/76, 1/76, 1/76,

0, 0, 0, 0, 0, 1/123, 1/123, 1/123, 1/123, 1/123,

0, 0, 0, 0, 0, 1/199, 1/199, 1/199, 1/199, 1/199, 1/199

CROSSREFS

Cf. A127711.

Sequence in context: A167223 A078907 A111815 this_sequence A073367 A111862 A060858

Adjacent sequences: A127750 A127751 A127752 this_sequence A127754 A127755 A127756

KEYWORD

sign,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jan 28 2007

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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