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A111967
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Inverse of number triangle A101688.
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4
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1, 0, 1, 0, -1, 1, 0, 1, -1, 1, 0, 0, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Row sums are the Fredholm-Rueppel sequence A036987 [conjecture].
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FORMULA
| G.f. of k-th column is x^k*if(k=0,1,x*sum{j=0..\infty, (-1)^j*x^(-2^(j/2)*(((k+2)/(2*sqrt(2))-(k+1))(-1)^j-(k+2)/(2*sqrt(2))-(k+1))-(k+2))+1-x}; - Paul Barry (pbarry(AT)wit.ie), Jan 30 2007
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EXAMPLE
| Triangle begins
1,
0, 1,
0, -1, 1,
0, 1, -1, 1,
0, 0, 0, -1, 1,
0, -1, 1, 0, -1, 1,
0, 0, 0, 0, 0, -1, 1,
0, 1, -1, 1, 0, 0, -1, 1,
0, 0, 0, 0, 0, 0, 0, -1, 1,
0, 0, 0, -1, 1, 0, 0, 0, -1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1,
0, -1, 1, 0, -1, 1, 0, 0, 0, 0, -1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1,
0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1,
0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1
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CROSSREFS
| Sequence in context: A174205 A114483 A127822 * A177978 A110247 A114607
Adjacent sequences: A111964 A111965 A111966 * A111968 A111969 A111970
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KEYWORD
| sign,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Aug 23 2005
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