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A057892 Negabinary numbral addition table read by antidiagonals. 3

%I #12 Jul 28 2022 16:36:51

%S 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,

%T 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,

%U 6,10,14,10,11,11,11,11,27,27,27,27,11,11,11,11,12,8,52,8,12,24,4,24

%N Negabinary numbral addition table read by antidiagonals.

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

%H A. Frosini and S. Rinaldi, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL9/Frosini/fros2.html">On the Sequence A079500 and Its Combinatorial Interpretations</a>, J. Integer Seq., Vol. 9 (2006), Article 06.3.1.

%H Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a057/A057892.java">Java program</a> (github)

%e a(4)=6 since a(4) corresponds to the table entry for [1]+[1]=1+1=2=4-2=[6].

%e a(24)=2 since a(24) corresponds to the table entry for [3]+[3]=(-1)+(-1)=-2=[2]. - _Sean A. Irvine_, Jul 11 2022

%Y Cf. A005351, A005352, A057893, A057894.

%K easy,nonn,tabl

%O 0,4

%A _Marc LeBrun_, Sep 25 2000

%E a(24) and a(84) corrected and title clarified by _Sean A. Irvine_, Jul 11 2022

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Last modified April 25 09:25 EDT 2024. Contains 371967 sequences. (Running on oeis4.)