A189203 - OEIS

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A189203

Zero-one sequence based on the sequence n(n+1)(2n+1)/6: a(A000330(k))=a(k); a(v(k))=1-a(k), where v=complement(A000330) and a(1)=0.

0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1`
	LINKS	`Table of n, a(n) for n=1..135.`
	MATHEMATICA	`u[n_] := n(n+1)/(2n+1)/6; (A000330)` `a[1] = 0; a[2]=1; h = 128;` `c = (u[#1] &) /@ Range[2h];` `d = (Complement[Range[Max[#1]], #1] &)[c];` `Table[a[d[[n]]] = 1 - a[n], {n, 1, h - 1}]; (A189203)` `Table[a[c[[n]]] = a[n], {n, 1, h}] (A189203)` `Flatten[Position[%, 0]] (A189204)` `Flatten[Position[%%, 1]] (A189205)`
	CROSSREFS	`Cf. A188967, A189204, A189205.` `Sequence in context: A189014 A189017 A189132 * A296028 A165263 A108737` `Adjacent sequences: A189200 A189201 A189202 * A189204 A189205 A189206`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling, Apr 18 2011`
	STATUS	`approved`

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Last modified March 21 17:39 EDT 2023. Contains 361408 sequences. (Running on oeis4.)