A156064 - OEIS

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A156064

Inverse of Riordan array (1/(1-x^4), x/(1-x^4)), A156062.

1, 0, 1, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, -2, 0, 0, 0, 1, 0, 0, -3, 0, 0, 0, 1, 0, 0, 0, -4, 0, 0, 0, 1, 4, 0, 0, 0, -5, 0, 0, 0, 1, 0, 9, 0, 0, 0, -6, 0, 0, 0, 1, 0, 0, 15, 0, 0, 0, -7, 0, 0, 0, 1, 0, 0, 0, 22, 0, 0, 0, -8, 0, 0, 0, 1, -22, 0, 0, 0, 30, 0, 0, 0, -9, 0, 0, 0, 1, 0, -52, 0, 0, 0, 39 (list; table; graph; refs; listen; history; text; internal format)

	OFFSET	`0,17`
	COMMENTS	`Reverse and aerate A069270. First column is signed aerated version of A002293. Diagonal sums are A156065.`
	LINKS	`Table of n, a(n) for n=0..96.` `Chai Wah Wu, Record values in appending and prepending bitstrings to runs of binary digits, arXiv:1810.02293 [math.NT], 2018.`
	EXAMPLE	`Triangle begins` `1;` `0, 1;` `0, 0, 1;` `0, 0, 0, 1;` `-1, 0, 0, 0, 1;` `0, -2, 0, 0, 0, 1;` `0, 0, -3, 0, 0, 0, 1;` `0, 0, 0, -4, 0, 0, 0, 1;` `4, 0, 0, 0, -5, 0, 0, 0, 1;` `0, 9, 0, 0, 0, -6, 0, 0, 0, 1;` `0, 0, 15, 0, 0, 0, -7, 0, 0, 0, 1;` `0, 0, 0, 22, 0, 0, 0, -8, 0, 0, 0, 1;` `-22, 0, 0, 0, 30, 0, 0, 0, -9, 0, 0, 0, 1;` `Production matrix is` `0, 1;` `0, 0, 1;` `0, 0, 0, 1;` `-1, 0, 0, 0, 1;` `0, -1, 0, 0, 0, 1;` `0, 0, -1, 0, 0, 0, 1;` `0, 0, 0, -1, 0, 0, 0, 1;` `0, 0, 0, 0, -1, 0, 0, 0, 1;` `0, 0, 0, 0, 0, -1, 0, 0, 0, 1;` `0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1;` `0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1;` `0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1;` `0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1;` `0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1;`
	CROSSREFS	`Sequence in context: A328037 A193426 A156062 * A158757 A294890 A325562` `Adjacent sequences: A156061 A156062 A156063 * A156065 A156066 A156067`
	KEYWORD	`easy,sign,tabl`
	AUTHOR	`Paul Barry, Oct 20 2009`
	STATUS	`approved`

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Last modified March 25 13:07 EDT 2023. Contains 361521 sequences. (Running on oeis4.)