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A114482 Let S(1)=1, S(2)=10; S(2n)=concatenation of S(2n-1), S(2n-2) and 0; and S(2n+1)=concatenation of S(2n), S(2n) and 0. Sequence gives S(infinity). +0
4
1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0 (list; graph; listen)
OFFSET

1,1

COMMENT

Number of terms in S(n) is A062318(n).

Interpreting S(n) in binary and converting to decimal gives 1,2,20,164,84296,43159880,5792821120672400,...,.

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

EXAMPLE

S(3) = {1,0,1,0,0}, S(4) = {1,0,1,0,0,1,0,0}, S(5) = {1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0}, ...

MATHEMATICA

a[1] = {1}; a[2] = {1, 0}; a[n_] := a[n] = If[EvenQ[n], Join[a[n - 1], a[n - 2], {0}] // Flatten, Join[a[n - 1], a[n - 1], {0}] // Flatten]; a[8] (Robert G. Wilson v)

CROSSREFS

Cf. A114483, A112346, A112361.

Sequence in context: A134286 A023531 A089495 this_sequence A127829 A127831 A164364

Adjacent sequences: A114479 A114480 A114481 this_sequence A114483 A114484 A114485

KEYWORD

easy,nonn

AUTHOR

Leroy Quet, Nov 30 2005

EXTENSIONS

More terms from Robert G. Wilson v, Jan 01 2006

Edited by N. J. A. Sloane (njas(AT)research.att.com), Jan 03 2006

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.


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