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A367055 Triangle read by rows: T(n, k) = A000120(n) + A000120(k), 0 <= k <= n. 1

%I #28 Jan 20 2024 09:12:11

%S 0,1,2,1,2,2,2,3,3,4,1,2,2,3,2,2,3,3,4,3,4,2,3,3,4,3,4,4,3,4,4,5,4,5,

%T 5,6,1,2,2,3,2,3,3,4,2,2,3,3,4,3,4,4,5,3,4,2,3,3,4,3,4,4,5,3,4,4,3,4,

%U 4,5,4,5,5,6,4,5,5,6,2,3,3,4,3,4,4,5,3

%N Triangle read by rows: T(n, k) = A000120(n) + A000120(k), 0 <= k <= n.

%C T(n, k) is the sum of the Hamming weight of n and the Hamming weight of k.

%C See A365618 for a table read by antidiagonals.

%F T(n, k) = A000120(n) + A000120(k).

%e Triangle begins:

%e k=0 1 2 3 4 5

%e n=0: 0;

%e n=1: 1, 2;

%e n=2: 1, 2, 2;

%e n=3: 2, 3, 3, 4;

%e n=4: 1, 2, 2, 3, 2;

%e n=5: 2, 3, 3, 4, 3, 4;

%e ...

%t T[n_, k_] := DigitCount[n, 2, 1] + DigitCount[k, 2, 1]

%Y Cf. A000069, A000120, A000788, A001969, A365618.

%K nonn,easy,tabl

%O 0,3

%A _Mithra Karamchedu_ and _Sophia Pi_, Nov 03 2023

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Last modified May 29 03:48 EDT 2024. Contains 372921 sequences. (Running on oeis4.)