A057892 Negabinary numbral addition table read by antidiagonals.

0, 1, 1, 2, 6, 2, 3, 3, 3, 3, 4, 0, 12, 0, 4, 5, 5, 13, 13, 5, 5, 6, 26, 6, 2, 6, 26, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 4, 0, 4, 24, 4, 0, 4, 8, 9, 9, 1, 1, 25, 25, 1, 1, 9, 9, 10, 14, 10, 6, 26, 30, 26, 6, 10, 14, 10, 11, 11, 11, 11, 27, 27, 27, 27, 11, 11, 11, 11, 12, 8, 52, 8, 12, 24, 4, 24

Offset

0,4

Comments

Every negabinary numbral appears infinitely often (since every signed integer can be represented as a sum of two signed integers in infinitely many ways).

Links

Table of n, a(n) for n=0..85.

A. Frosini and S. Rinaldi, On the Sequence A079500 and Its Combinatorial Interpretations, J. Integer Seq., Vol. 9 (2006), Article 06.3.1.

Sean A. Irvine, Java program (github)

Example

a(4)=6 since a(4) corresponds to the table entry for [1]+[1]=1+1=2=4-2=[6].
a(24)=2 since a(24) corresponds to the table entry for [3]+[3]=(-1)+(-1)=-2=[2]. - Sean A. Irvine, Jul 11 2022

Crossrefs

Cf. A005351, A005352, A057893, A057894.

Sequence in context: A320575 A110218 A316259 * A334188 A265993 A115009

Adjacent sequences: A057889 A057890 A057891 * A057893 A057894 A057895

Keyword

easy,nonn,tabl

Author

Marc LeBrun, Sep 25 2000

Extensions

a(24) and a(84) corrected and title clarified by Sean A. Irvine, Jul 11 2022

Status

approved