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A178058 Number of 1's in the Gray code for binomial(n,m). 2
1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 4, 4, 3, 1, 1, 2, 1, 4, 1, 2, 1, 1, 1, 5, 3, 3, 5, 1, 1, 1, 2, 2, 2, 4, 2, 2, 2, 1, 1, 3, 4, 6, 2, 2, 6, 4, 3, 1, 1, 4, 5, 2, 6, 2, 6, 2, 5, 4, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are: 1, 2, 4, 4, 8, 16, 12, 20, 18, 32, 38,....

LINKS

Table of n, a(n) for n=0..65.

Eric W. Weisstein, Gray code

FORMULA

T(n,m) = A005811(binomial(n,m)), 0<=m<=n.

EXAMPLE

1;

1, 1;

1, 2, 1;

1, 1, 1, 1;

1, 2, 2, 2, 1;

1, 3, 4, 4, 3, 1;

1, 2, 1, 4, 1, 2, 1;

1, 1, 5, 3, 3, 5, 1, 1;

1, 2, 2, 2, 4, 2, 2, 2, 1;

1, 3, 4, 6, 2, 2, 6, 4, 3, 1;

1, 4, 5, 2, 6, 2, 6, 2, 5, 4, 1;

MAPLE

A178058 := proc(n, m)

    A005811(binomial(n, m)) ;

end proc: # R. J. Mathar, Mar 10 2015

MATHEMATICA

GrayCodeList[k_] := Module[{b = IntegerDigits[k, 2], i},

Do[

If[b[[i - 1]] == 1, b[[i]] = 1 - b[[i]]],

{i, Length[b], 2, -1}

];

b

]

Table[Table[Apply[Plus, GrayCodeList[Binomial[n, m]]], {m, 0, n}], {n, 0, 10}];

Flatten[%]

CROSSREFS

Cf. A143214.

Sequence in context: A228053 A031262 A047072 * A260971 A053258 A053632

Adjacent sequences:  A178055 A178056 A178057 * A178059 A178060 A178061

KEYWORD

nonn,tabl

AUTHOR

Roger L. Bagula, May 18 2010

EXTENSIONS

Edited by R. J. Mathar, Mar 10 2015

STATUS

approved

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Last modified November 18 07:01 EST 2018. Contains 317279 sequences. (Running on oeis4.)