A188973 - OEIS

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A188973

Zero-one sequence based on squares: a(A000290(k))=a(k); a(A000037(k))=1-a(k); a(1)=0.

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

	OFFSET	`1`
	COMMENTS	`Let u=A000290 and v=A000037, so that u(n)=n^2 and v=complement(u) for n>=1. Then a is a self-generating zero-one sequence with initial value a(1)=0 and a(u(k))=a(k); a(v(k))=1-a(k).`
	LINKS	`Table of n, a(n) for n=1..135.`
	MATHEMATICA	`u[n_] := n^2; (A000290)` `a[1] = 0; h = 128;` `c = (u[#1] &) /@ Range[h];` `d = (Complement[Range[Max[#1]], #1] &)[c]; (A000037)` `Table[a[d[[n]]] = 1 - a[n], {n, 1, h - 1}];` `Table[a[c[[n]]] = a[n], {n, 1, h}] (A188973)` `Flatten[Position[%, 0]] (A188974)` `Flatten[Position[%%, 1]] (A188975)`
	CROSSREFS	`Cf. A188967, A188974, A188975.` `Sequence in context: A090171 A316832 A086747 * A188970 A244992 A286685` `Adjacent sequences: A188970 A188971 A188972 * A188974 A188975 A188976`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling, Apr 14 2011`
	STATUS	`approved`

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Last modified August 18 20:21 EDT 2024. Contains 375276 sequences. (Running on oeis4.)