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A123740 Characteristic sequence for Wythoff AB-numbers A003623. 6
0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Left shifted sequence is the characteristic function of A035336, and also the second lowest digit of the Zeckendorf expansion of n. [From Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Jun 30 2009]

a(n) = A188009(n+2), n>=1. - Wolfdieter lang, Jun 27 2011.

REFERENCES

See references under A000201.

FORMULA

a(n)=1 if n=A(B(k)) for some k>=1, else 0, with A(k):=A000201(k) and B(k):=A001950(k), k>=1.

a(n)=1-(1-h(n))-(1-h(n+1)) = h(n)-(1-h(n+1))= h(n)*h(n+1) with h(n):=A005614(n-1), n>=1, the rabbit sequence.

a(n)= A(n+2)-A(n)-3. - Wolfdieter Lang, Jun 27 2011.

CROSSREFS

Cf. A003623, A000201, A001950, A188009.

Cf. A003849,A014417. [From Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Jun 30 2009]

Sequence in context: A025125 A147873 A103589 * A129272 A059648 A079261

Adjacent sequences:  A123737 A123738 A123739 * A123741 A123742 A123743

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Oct 13 2006

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Last modified February 16 09:27 EST 2012. Contains 205904 sequences.