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Search: id:A127822
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| A127822 |
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Triangle whose row sums modulo 2 give the Fredholm-Rueppel sequence A036987. |
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+0 1
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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
(list; table; graph; listen)
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OFFSET
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0,1
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COMMENT
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Row sums are A111982. Unsigned version of A111967.
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FORMULA
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G.f. of k-th column is x^k*if(k=0,1,x*sum{j=0..\infty, x^(-2^(j/2)*(((k+2)/(2*sqrt(2))-(k+1))(-1)^j-(k+2)/(2*sqrt(2))-(k+1))-(k+2))+1+x}
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EXAMPLE
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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
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CROSSREFS
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Sequence in context: A131670 A155482 A114483 this_sequence A111967 A110247 A114607
Adjacent sequences: A127819 A127820 A127821 this_sequence A127823 A127824 A127825
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jan 30 2007
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