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A065935 Permutation of N induced by the order-preserving bijection QuQR2toQuQR1 on rationals. +0
4
1, 4, 7, 16, 2, 13, 127, 64, 8, 19, 10, 25, 3, 124, 32767, 256, 32, 67, 34, 9, 79, 40, 5, 49, 6, 223, 112, 247, 31, 4093, 2147483647, 1024, 128, 259, 130, 33, 271, 136, 17, 37, 76, 39, 319, 160, 20, 43, 22, 97, 12, 415, 208, 55, 3583, 1792, 28, 244, 15, 502, 505, 4090 (list; graph; listen)
OFFSET

1,2

COMMENT

This permutation converts the domain between the mappings N2QuQR1 and N2QuQR2 given in A065936 and A065937, i.e. N2QuQR2(j) = N2QuQR1(a[j])

LINKS

Index entries for sequences related to Stern's sequences

Index entries for sequences that are permutations of the natural numbers

MAPLE

[seq(QuQR2toQuQR1(j), j=1..128)];

QuQR2toQuQR1 := n -> frac2position_in_0_1_SB_tree(QtoQ0_1(SternBrocotTreeNum(n)/SternBrocotTreeDen(n)\ ));

QtoQ0_1 := r -> (((2^floor(r))-1)+(frac(r)/2))/(2^floor(r));

CROSSREFS

Inverse permutation: A065934. For other needed Maple procedures, follow A065658. Cf. also A065936-A065939.

Sequence in context: A119749 A145970 A145795 this_sequence A166669 A077582 A037373

Adjacent sequences: A065932 A065933 A065934 this_sequence A065936 A065937 A065938

KEYWORD

nonn

AUTHOR

Antti Karttunen Dec 07 2001

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.


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