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A103842 Triangle read by rows: row n is binary expansion of 2^n-n, n >= 1. 1
1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0 (list; table; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

This sequence can also be obtained by reading (from bottom to top, column by column) the array given in A103582 after suppressing the terms below the main diagonal.

REFERENCES

David Applegate, Benoit Cloitre, Philippe DELEHAM and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers, J. Integer Seq. 8 (2005), no. 3, Article 05.3.6, 15 pp.

LINKS

David Applegate, Benoit Cloitre, Philippe DELEHAM and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers [pdf, ps].

EXAMPLE

Table begins:

1

1 0

1 0 1

1 1 0 0

1 1 0 1 1

1 1 1 0 1 0

1 1 1 1 0 0 1

MAPLE

p:=proc(n) local A, j, b: A:=convert(2^n-n, base, 2): for j from 1 to nops(A) do b:=j->A[nops(A)+1-j] od: seq(b(j), j=1..nops(A)): end: for n from 1 to 15 do p(n) od; # yields sequence in triangular form (Deutsch)

CROSSREFS

Cf. A000325, A103582.

Sequence in context: A108336 A118268 A143220 * A065535 A093719 A153778

Adjacent sequences:  A103839 A103840 A103841 * A103843 A103844 A103845

KEYWORD

nonn,tabl,easy

AUTHOR

Phillipe DELEHAM (kolotoko(AT)wanadoo.fr), Mar 31 2005

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 16 2005

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Last modified February 13 08:12 EST 2012. Contains 205451 sequences.