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%I #10 Oct 30 2021 06:03:11
%S 1,2,1,4,2,2,8,4,4,2,16,8,8,4,8,32,16,16,8,16,8,64,32,32,16,32,16,16,
%T 128,64,64,32,64,32,32,16,256,128,128,64,128,64,64,32,128,512,256,256,
%U 128,256,128,128,64,256,128,1024,512,512,256,512,256,256,128,512,256,256
%N Triangle read by rows, T(n, k) = 2^(n - HammingWeight(k)), for 0 <= k <= n.
%e Triangle starts:
%e [0] 1;
%e [1] 2, 1;
%e [2] 4, 2, 2;
%e [3] 8, 4, 4, 2;
%e [4] 16, 8, 8, 4, 8;
%e [5] 32, 16, 16, 8, 16, 8;
%e [6] 64, 32, 32, 16, 32, 16, 16;
%e [7] 128, 64, 64, 32, 64, 32, 32, 16;
%e [8] 256, 128, 128, 64, 128, 64, 64, 32, 128;
%e [9] 512, 256, 256, 128, 256, 128, 128, 64, 256, 128;
%p HammingWeight := n -> add(i, i = convert(n, base, 2)):
%p A348676 := (n, k) -> 2^(n - HammingWeight(k)):
%p seq(seq(A348676(n, k), k = 0..n), n = 0..10);
%t Table[2^(n - DigitCount[k, 2, 1]), {n, 0, 10}, {k, 0, n}] // Flatten (* _Amiram Eldar_, Oct 30 2021 *)
%Y Cf. A000120, A000079, A060818, A054243 (row gcd).
%Y Cf. A348684, A348685, A348687.
%K nonn,tabl
%O 0,2
%A _Peter Luschny_, Oct 29 2021
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