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A075300 Table T(n,k) = A054582(n,k)-1 = 2^n*(2*k+1)-1 with n,k >= 0. 9
0, 1, 2, 3, 5, 4, 7, 11, 9, 6, 15, 23, 19, 13, 8, 31, 47, 39, 27, 17, 10, 63, 95, 79, 55, 35, 21, 12, 127, 191, 159, 111, 71, 43, 25, 14, 255, 383, 319, 223, 143, 87, 51, 29, 16, 511, 767, 639, 447, 287, 175, 103, 59, 33, 18, 1023, 1535, 1279, 895, 575, 351, 207, 119 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

From Philippe Deléham, Feb 19 2014: (Start)

T(0,k)  = 2*k = A005843(k),

T(1,k)  = 4*k + 1 = A016813(k),

T(2,k)  = 8*k + 3 = A017101(k),

T(n,0)  = A000225(n),

T(n,1)  = A153893(n),

T(n,2)  = A153894(n),

T(n,3)  = A086224(n),

T(n,4)  = A052996(n+2),

T(n,5)  = A086225(n),

T(n,6)  = A198274(n),

T(n,7)  = A238087(n),

T(n,8)  = A198275(n),

T(n,9)  = A198276(n),

T(n,10) = A171389(n). (End)

A permutation of the nonnegative integers. - Alzhekeyev Ascar M, Jun 05 2016

LINKS

Table of n, a(n) for n=0..62.

Index entries for sequences that are permutations of the natural numbers

EXAMPLE

Table begins:

.0...2....4....6....8...10...12...14...16...18...

.1...5....9...13...17...21...25...29...33...37...

.3..11...19...27...35...43...51...59...67...75...

.7..23...39...55...71...87..103..119..135..151...

15..47...79..111..143..175..207..239..271..303...

31..95..159..223..287..351..415..479..543..607...

- Philippe Deléham, Feb 19 2014

MAPLE

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

A075300 := n -> A075300bi(A025581(n), A002262(n));

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);

MATHEMATICA

Table[(2^# (2 k + 1)) - 1 &[m - k], {m, 0, 10}, {k, 0, m}] (* Michael De Vlieger, Jun 05 2016 *)

CROSSREFS

Inverse permutation: A075301. Transpose: A075302. The X-projection is given by A007814(n+1) and the Y-projection A025480. Cf. A002262, A025581, A054582, A241957.

Sequence in context: A291588 A064620 A064216 * A259153 A028691 A246353

Adjacent sequences:  A075297 A075298 A075299 * A075301 A075302 A075303

KEYWORD

nonn,tabl,easy

AUTHOR

Antti Karttunen, Sep 12 2002

STATUS

approved

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Last modified October 17 22:48 EDT 2018. Contains 316297 sequences. (Running on oeis4.)