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 A348685 #10 Oct 30 2021 06:03:15 %S A348685 1,4,2,16,8,8,64,32,32,16,256,128,128,64,128,1024,512,512,256,512,256, %T A348685 4096,2048,2048,1024,2048,1024,1024,16384,8192,8192,4096,8192,4096, %U A348685 4096,2048,65536,32768,32768,16384,32768,16384,16384,8192,32768 %N A348685 Triangle read by rows, T(n, k) = 2^(2*n - HammingWeight(k)), for 0 <= k <= n. %e A348685 Triangle starts: %e A348685 [0] 1; %e A348685 [1] 4, 2; %e A348685 [2] 16, 8, 8; %e A348685 [3] 64, 32, 32, 16; %e A348685 [4] 256, 128, 128, 64, 128; %e A348685 [5] 1024, 512, 512, 256, 512, 256; %e A348685 [6] 4096, 2048, 2048, 1024, 2048, 1024, 1024; %e A348685 [7] 16384, 8192, 8192, 4096, 8192, 4096, 4096, 2048; %e A348685 [8] 65536, 32768, 32768, 16384, 32768, 16384, 16384, 8192, 32768; %e A348685 [9] 262144, 131072, 131072, 65536, 131072, 65536, 65536, 32768, 131072, 65536; %p A348685 HammingWeight := n -> add(i, i = convert(n, base, 2)): %p A348685 A348685 := (n, k) -> 2^(2*n - HammingWeight(k)): %p A348685 seq(seq(A348685(n, k), k = 0..n), n = 0..8); %t A348685 Table[2^(2*n - DigitCount[k, 2, 1]), {n, 0, 8}, {k, 0, n}] // Flatten (* _Amiram Eldar_, Oct 30 2021 *) %Y A348685 Cf. A000120, A000079, A000302, A046161. %Y A348685 Cf. A348684, A348687, A348676. %K A348685 nonn,tabl %O A348685 0,2 %A A348685 _Peter Luschny_, Oct 29 2021