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A111967 Inverse of number triangle A101688. 4
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; text; internal format)
OFFSET

0,1

COMMENTS

Row sums are the Fredholm-Rueppel sequence A036987 [conjecture].

LINKS

Table of n, a(n) for n=0..118.

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, Jan 30 2007

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

CROSSREFS

Sequence in context: A174205 A114483 A127822 * A177978 A213061 A110247

Adjacent sequences:  A111964 A111965 A111966 * A111968 A111969 A111970

KEYWORD

sign,tabl

AUTHOR

Paul Barry, Aug 23 2005

STATUS

approved

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Last modified June 18 18:52 EDT 2019. Contains 324215 sequences. (Running on oeis4.)