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A075302 Transpose of array A075300. 4
0, 2, 1, 4, 5, 3, 6, 9, 11, 7, 8, 13, 19, 23, 15, 10, 17, 27, 39, 47, 31, 12, 21, 35, 55, 79, 95, 63, 14, 25, 43, 71, 111, 159, 191, 127, 16, 29, 51, 87, 143, 223, 319, 383, 255, 18, 33, 59, 103, 175, 287, 447, 639, 767, 511, 20, 37, 67, 119, 207, 351, 575, 895, 1279 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The top-left corner of the array looks like:

0 2 4 6 8 10 12 14 ...

1 5 9 13 17 21 25 29 ...

3 11 19 27 35 43 51 59 ...

7 23 39 55 71 87 ...

15 47 79 ...

This can be used to construct mappings like A059884 and A075173, where the elements of the first row give the bit-positions where to interleave the first element of a finite vector of nonnegative integers, the second row the bit-positions for the second element, etc.

LINKS

Table of n, a(n) for n=0..63.

Index entries for sequences that are permutations of the natural numbers

MAPLE

A075302 := n -> A075300bi(A002262(n), A025581(n));

A075300bi := (x, y) -> (2^x * (2*y + 1))-1;

A002262 := n -> n - binomial(floor((1/2)+sqrt(2*(1+n))), 2);

A025581 := n -> binomial(1+floor((1/2)+sqrt(2*(1+n))), 2) - (n+1);

CROSSREFS

Inverse permutation: A075303. Transpose: A075300. The X-projection is given by A025480 and the Y-projection is A007814(n+1). Cf. A002262, A025581.

Sequence in context: A099492 A144203 A239806 * A257911 A257882 A028509

Adjacent sequences:  A075299 A075300 A075301 * A075303 A075304 A075305

KEYWORD

nonn,tabl

AUTHOR

Antti Karttunen, Sep 12 2002

STATUS

approved

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Last modified February 19 14:54 EST 2018. Contains 299334 sequences. (Running on oeis4.)