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A127710 Inverse of the triangle A(n,k)=if(k<=n,if(n<=2k,1/(n+1),0),0). +0
1
1, 0, 2, 0, -2, 3, 0, 2, -3, 4, 0, 0, 0, -4, 5, 0, -2, 3, 0, -5, 6, 0, 0, 0, 0, 0, -6, 7, 0, 2, -3, 4, 0, 0, -7, 8, 0, 0, 0, 0, 0, 0, 0, -8, 9, 0, 0, 0, -4, 5, 0, 0, 0, -9, 10, 0, 0 (list; table; graph; listen)
OFFSET

0,3

COMMENT

It is conjectured that all elements of this triangle are integers. It appears that the row sums are the ruler function A001511.

EXAMPLE

Triangle begins

1,

0, 2,

0, -2, 3,

0, 2, -3, 4,

0, 0, 0, -4, 5,

0, -2, 3, 0, -5, 6,

0, 0, 0, 0, 0, -6, 7,

0, 2, -3, 4, 0, 0, -7, 8,

0, 0, 0, 0, 0, 0, 0, -8, 9,

0, 0, 0, -4, 5, 0, 0, 0, -9, 10,

0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 11,

0, -2, 3, 0, -5, 6, 0, 0, 0, 0, -11, 12,

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 13

Triangle is the inverse of the triangle

1,

0, 1/2,

0, 1/3, 1/3,

0, 0, 1/4, 1/4,

0, 0, 1/5, 1/5, 1/5,

0, 0, 0, 1/6, 1/6, 1/6,

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

0, 0, 0, 0, 1/8, 1/8, 1/8, 1/8,

0, 0, 0, 0, 1/9, 1/9, 1/9, 1/9, 1/9,

0, 0, 0, 0, 0, 1/10, 1/10, 1/10, 1/10, 1/10,

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

CROSSREFS

Sequence in context: A058623 A111565 A141099 this_sequence A137510 A067871 A060155

Adjacent sequences: A127707 A127708 A127709 this_sequence A127711 A127712 A127713

KEYWORD

sign,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jan 24 2007

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


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