A135529 - OEIS

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A135529

Guy Steele's sequence GS(4,5) (see A135416).

1, 2, 2, 3, 4, 3, 4, 4, 6, 5, 8, 4, 6, 5, 8, 5, 8, 7, 12, 6, 10, 9, 16, 5, 8, 7, 12, 6, 10, 9, 16, 6, 10, 9, 16, 8, 14, 13, 24, 7, 12, 11, 20, 10, 18, 17, 32, 6, 10, 9, 16, 8, 14, 13, 24, 7, 12, 11, 20, 10, 18, 17, 32, 7, 12, 11, 20, 10, 18, 17, 32, 9, 16, 15, 28, 14, 26, 25, 48, 8, 14, 13, 24

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

FORMULA

a(n) = A135533(n) + 1 - 2^(A000120(n)-1). - Don Knuth, Mar 01 2008

MAPLE

GS(4, 5, 200); # [see A135416].

MATHEMATICA

i = 4; j = 5; Clear[a]; a[1] = 1; a[n_?EvenQ] := a[n] = {0, 1, a[n/2], a[n/2]+1, 2*a[n/2], 2*a[n/2]+1}[[i]]; a[n_?OddQ] := a[n] = {0, 1, a[(n-1)/2], a[(n-1)/2]+1, 2*a[(n-1)/2], 2*a[(n-1)/2]+1}[[j]]; Array[a, 83] (* Jean-François Alcover, Sep 12 2013 *)

CROSSREFS

Cf. A135416.

Sequence in context: A127432 A199408 A285325 * A061282 A244040 A338913

Adjacent sequences: A135526 A135527 A135528 * A135530 A135531 A135532

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, based on a message from Guy Steele and Don Knuth, Mar 01 2008

STATUS

approved