A348687 - OEIS

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A348687

Triangle read by rows, T(n, k) = n - HammingWeight(k), for 0 <= k <= n.

0, 1, 0, 2, 1, 1, 3, 2, 2, 1, 4, 3, 3, 2, 3, 5, 4, 4, 3, 4, 3, 6, 5, 5, 4, 5, 4, 4, 7, 6, 6, 5, 6, 5, 5, 4, 8, 7, 7, 6, 7, 6, 6, 5, 7, 9, 8, 8, 7, 8, 7, 7, 6, 8, 7, 10, 9, 9, 8, 9, 8, 8, 7, 9, 8, 8, 11, 10, 10, 9, 10, 9, 9, 8, 10, 9, 9, 8

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,4

LINKS

Table of n, a(n) for n=0..77.

EXAMPLE

Triangle starts:

[0] 0;

[1] 1, 0;

[2] 2, 1, 1;

[3] 3, 2, 2, 1;

[4] 4, 3, 3, 2, 3;

[5] 5, 4, 4, 3, 4, 3;

[6] 6, 5, 5, 4, 5, 4, 4;

[7] 7, 6, 6, 5, 6, 5, 5, 4;

[8] 8, 7, 7, 6, 7, 6, 6, 5, 7;

[9] 9, 8, 8, 7, 8, 7, 7, 6, 8, 7;

MAPLE

HammingWeight := n -> add(i, i = convert(n, base, 2)):

A348687 := (n, k) -> n - HammingWeight(k):

seq(seq(A348687(n, k), k = 0..n), n = 0..11);

MATHEMATICA

Table[n - DigitCount[k, 2, 1], {n, 0, 11}, {k, 0, n}] // Flatten (* Amiram Eldar, Oct 30 2021 *)

CROSSREFS

Cf. A000120, A001477, A011371, A122247 (row sums), A057427 (row gcd).

Cf. A348684, A348685, A348676.

Sequence in context: A278042 A338714 A211161 * A208101 A131333 A120643

Adjacent sequences: A348684 A348685 A348686 * A348688 A348689 A348690

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Oct 29 2021

STATUS

approved