The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A083651 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A083651

Triangular array, read by rows: T(n,k) = k-th bit in binary representation of n (0<=k<=n).
(history; published version)

#12 by Susanna Cuyler at Mon Sep 20 08:51:51 EDT 2021

STATUS

proposed

approved

#11 by Jean-François Alcover at Mon Sep 20 07:44:42 EDT 2021

STATUS

editing

proposed

#10 by Jean-François Alcover at Mon Sep 20 07:44:35 EDT 2021

MATHEMATICA

row[n_] := row[n] = PadRight[Reverse[IntegerDigits[n, 2]], n+1];

T[n_, k_] := row[n][[k+1]];

Table[T[n, k], {n, 0, 14}, {k, 0, n}] // Flatten

STATUS

approved

editing

#9 by R. J. Mathar at Wed Apr 21 08:49:36 EDT 2021

STATUS

proposed

approved

#8 by Michel Marcus at Wed Apr 21 07:25:51 EDT 2021

STATUS

editing

proposed

#7 by Michel Marcus at Wed Apr 21 07:25:45 EDT 2021

CROSSREFS

Cf. A000035 (column k=0), A133872 (k=1), A131078 (k=2), A000120 (row sums).

STATUS

proposed

editing

#6 by R. J. Mathar at Wed Apr 21 07:21:44 EDT 2021

STATUS

editing

proposed

#5 by R. J. Mathar at Wed Apr 21 07:20:09 EDT 2021

EXAMPLE

The triangle starts

0

1 0

0 1 0

1 1 0 0

0 0 1 0 0

1 0 1 0 0 0

0 1 1 0 0 0 0

1 1 1 0 0 0 0 0

0 0 0 1 0 0 0 0 0

1 0 0 1 0 0 0 0 0 0

0 1 0 1 0 0 0 0 0 0 0

1 1 0 1 0 0 0 0 0 0 0 0

0 0 1 1 0 0 0 0 0 0 0 0 0

1 0 1 1 0 0 0 0 0 0 0 0 0 0

0 1 1 1 0 0 0 0 0 0 0 0 0 0 0

MAPLE

A083651 := proc(n, k)

floor(n/2^k) ;

modp(%, 2) ;

end proc: # R. J. Mathar, Apr 21 2021

CROSSREFS

Cf. A000035 (column k=0), A133872 (k=1), A131078 (k=2), A000120 (row sums)

KEYWORD

nonn,tabl,easy

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 18:50:34 EDT 2012

AUTHOR

_Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), _, May 01 2003

Discussion

Fri Mar 30

18:50

OEIS Server: https://oeis.org/edit/global/246

#3 by N. J. A. Sloane at Fri Jan 09 03:00:00 EST 2009

KEYWORD

nonn,tabl,new

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystemsgmail.com), May 01 2003