A114483 -id:A114483 - cp's OEIS frontend

A112361 Number of terms in s(n), where s(n) is defined in A114483.

1, 2, 5, 8, 17, 35, 53, 107, 215, 323, 647, 971, 1943, 3887, 5831, 11663, 23327, 46655, 69983, 139967, 209951, 419903, 839807, 1259711, 2519423, 5038847, 7558271, 15116543, 22674815, 45349631, 90699263, 136048895, 272097791, 544195583

Offset: 1

Leroy Quet, Nov 30 2005

			As defined in A114483, s(4) = {1,0,1,0,1,1,0,1}; so a(4) = 8.

Cf. A114482, A114483, A062318.

Corrected and extended by Joshua Zucker, Jul 27 2006

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).

Original entry on oeis.org

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

Offset: 1

Leroy Quet, Nov 30 2005

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,...,.

			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}, ...

Cf. A114483, A062318, A112361.

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 *)

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

Edited by N. J. A. Sloane, Jan 03 2006

cp's OEIS Frontend

A112361 Number of terms in s(n), where s(n) is defined in A114483.

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