A057893 -id:A057893 - cp's OEIS frontend

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

Marc LeBrun, Sep 25 2000

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

			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

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)

Cf. A005351, A005352, A057893, A057894.

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

A057894 Negabinary numbral "primes".

Original entry on oeis.org

2, 5, 6, 7, 9, 13, 15, 17, 23, 27, 29, 31, 33, 39, 43, 47, 51, 53, 55, 57, 61, 71, 77, 79, 83, 87, 89, 91, 99, 101, 107, 109, 115, 117, 121, 127, 129, 139, 141, 147, 149, 151, 167, 169, 173, 181, 185, 191, 197, 199, 201, 203, 205, 209, 213, 223, 227, 233, 239, 241

Offset: 0

Marc LeBrun, Sep 25 2000

"Primes" have no other distinct divisors, up to multiplication by units. (Units are [1]=1 and [3]=-1.)

			[2]=-2, [5]=5, [6]=2, [7]=3, [9]=-7, [13]=-3, etc

A005351, A005352, A057892, A057893.

cp's OEIS Frontend

A057892 Negabinary numbral addition table read by antidiagonals.

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