This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A344646 #6 May 26 2021 02:28:55 %S A344646 0,1,1,2,3,2,4,5,5,4,6,7,8,7,6,9,10,11,11,10,9,12,13,14,15,14,13,12, %T A344646 16,17,18,19,19,18,17,16,20,21,22,23,24,23,22,21,20,25,26,27,28,29,29, %U A344646 28,27,26,25,30,31,32,33,34,35,34,33,32,31,30,36,37,38,39,40,41,41,40,39,38,37,36 %N A344646 Array read by antidiagonals T(n,k) = ((n+k+1)^2 - (n+k+1) mod 2)/4 + min(n,k) for n and k >= 0. %H A344646 Jianrui Xie, <a href="https://arxiv.org/abs/2105.10752">On Symmetric Invertible Binary Pairing Functions</a>, arXiv:2105.10752 [math.CO], 2021. %e A344646 Array begins: %e A344646 0 1 2 4 6 ... %e A344646 1 3 5 7 10 ... %e A344646 2 5 8 11 14 ... %e A344646 4 7 11 15 19 ... %e A344646 6 10 14 19 24 ... %e A344646 ... %t A344646 T[n_, k_] := ((n + k + 1)^2 - Mod[n + k + 1, 2])/4 + Min[n, k]; Table[T[k, n - k], {n, 0, 11}, {k, 0, n}] // Flatten (* _Amiram Eldar_, May 25 2021 *) %o A344646 (PARI) T(n,k) = ((n+k+1)^2 - (n+k+1)%2)/4 + min(n,k); %Y A344646 Cf. A128282 (another pairing function). %K A344646 nonn,tabl %O A344646 0,4 %A A344646 _Michel Marcus_, May 25 2021