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A057892
Negabinary numbral addition table read by antidiagonals.
3
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
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
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