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A328732 Irregular table read by rows; for any n >= 0, the n-th row contains the numbers of the form u - v with u + v = n and u AND v = 0 (where AND denotes the bitwise AND operator), in ascending order. 1
0, -1, 1, -2, 2, -3, -1, 1, 3, -4, 4, -5, -3, 3, 5, -6, -2, 2, 6, -7, -5, -3, -1, 1, 3, 5, 7, -8, 8, -9, -7, 7, 9, -10, -6, 6, 10, -11, -9, -7, -5, 5, 7, 9, 11, -12, -4, 4, 12, -13, -11, -5, -3, 3, 5, 11, 13, -14, -10, -6, -2, 2, 6, 10, 14 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

The n-th row:

- has A001316(n) terms,

- has -n as first term and n as last term,

- has least positive term T(n, A001316(n)/2+1)) = A080079(n) (when n > 0).

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..6562 (Rows for n = 0..256)

Rémy Sigrist, Scatterplot of (n, T(n, k)) for n = 0..1024 and k = 1..A001316(n)

EXAMPLE

Table begins:

    0;

   -1,   1;

   -2,   2;

   -3,  -1,   1,   3;

   -4,   4;

   -5,  -3,   3,   5;

   -6,  -2,   2,   6;

   -7,  -5,  -3,  -1,   1,   3,   5,   7;

   -8,   8;

   -9,  -7,   7,   9;

  -10,  -6,   6,  10;

  -11,  -9,  -7,  -5,   5,   7,   9,  11;

  -12,  -4,   4,  12;

  -13, -11,  -5,  -3,   3,   5,  11,  13;

  ...

PROG

(PARI) row(n) = my (r=[0], b=Vecrev(binary(n))); for (k=0, #b-1, if (b[k+1], r=concat(apply(v -> [v-2^k, v+2^k], r)))); Set(r)

CROSSREFS

Cf. A001316, A080079.

Sequence in context: A286093 A078827 A157806 * A130795 A195663 A264010

Adjacent sequences:  A328729 A328730 A328731 * A328733 A328734 A328735

KEYWORD

sign,base,tabf

AUTHOR

Rémy Sigrist, Oct 26 2019

STATUS

approved

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Last modified August 12 00:34 EDT 2022. Contains 356067 sequences. (Running on oeis4.)