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A038870 Triangle read by rows: T(n,k) = number of orbits of order exactly k under doubling map which remain in a semicircle, with k dividing n. 1
0, 1, 1, 3, 1, 7, 1, 5, 11, 15, 1, 31, 1, 9, 21, 43, 55, 63, 1, 37, 91, 127, 1, 17, 85, 171, 239, 255, 1, 73, 439, 511, 1, 33, 137, 293, 341, 683, 731, 887, 991, 1023, 1, 661, 1387, 2047, 1, 65, 273, 585, 1189, 1365, 2731, 2907, 3511, 3823, 4031, 4095, 1 (list; graph; refs; listen; history; internal format)
OFFSET

1,4

COMMENTS

If alpha=exp(2i*pi*a(d,n)/(2^n - 1)), the orbit of alpha has period n and stays in the semi-circle of minimal argument alpha.

FORMULA

a(d, n)=Sum 2^[ nk/d ], k=0..{d-1}; (d, n)=1.

CROSSREFS

Cf. A038871.

Sequence in context: A038712 A065745 A117677 * A186428 A167515 A140435

Adjacent sequences:  A038867 A038868 A038869 * A038871 A038872 A038873

KEYWORD

nonn,tabf,easy

AUTHOR

Francois Maurel (maurel(AT)sequoia.ens.fr)

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Last modified February 14 20:38 EST 2012. Contains 205663 sequences.