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A066884 Square array read by antidiagonals where the n-th row contains the positive integers with n binary 1's. 6
1, 3, 2, 7, 5, 4, 15, 11, 6, 8, 31, 23, 13, 9, 16, 63, 47, 27, 14, 10, 32, 127, 95, 55, 29, 19, 12, 64, 255, 191, 111, 59, 30, 21, 17, 128, 511, 383, 223, 119, 61, 39, 22, 18, 256, 1023, 767, 447, 239, 123, 62, 43, 25, 20, 512, 2047, 1535, 895, 479, 247, 125, 79, 45 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This is a permutation of the positive integers; the inverse permutation is A067587.

LINKS

Ivan Neretin, Table of n, a(n) for n = 1..8001

Vladimir Dobric, M. Skyers, L. J. Stanley, Polynomial Time Computable Triangular Arrays For Almost Sure Convergence, arXiv preprint arXiv:1603.04896 [math.PR], 2016. [Shows that this sequence is in P-TIME]

EXAMPLE

Column: 1___2___3___4___5___6

-----------------------------

Row 1:|_1___2___4___8__16__32

Row 2:|_3___5___6___9__10__12

Row 3:|_7__11__13__14__19__21

Row 4:|15__23__27__29__30__39

Row 5:|31__47__55__59__61__62

Row 6:|63__95_111_119_123_125

MATHEMATICA

a = {}; Do[ a = Append[a, Last[ Take[ Take[ Select[ Range[2^12], Count[ IntegerDigits[ #, 2], 1] == j - i + 1 & ], j], i]]], {j, 1, 11}, {i, 1, j}]; a

CROSSREFS

Cf. A000120.

Selected rows: A000079 (1), A018900 (2), A014311 (3), A014312 (4), A014313 (5), A023688 (6), A023689 (7), A023690 (8), A023691 (9), A038461 (10), A038462 (11), A038463 (12). For decimal analogs, see A011557 and A038444-A038452.

Selected columns: A000225 (1), A055010 (2).

Selected diagonals: A036563 (main), A000918 (1st upper), A153894 (2nd upper). [Franklin T. Adams-Watters, Apr 22 2009]

Sequence in context: A283940 A163255 A297932 * A171429 A191448 A191447

Adjacent sequences:  A066881 A066882 A066883 * A066885 A066886 A066887

KEYWORD

nonn,tabl,base

AUTHOR

Jared Benjamin Ricks (jaredricks(AT)yahoo.com), Jan 21 2002

EXTENSIONS

Corrected and extended by Henry Bottomley, Jan 27 2002

STATUS

approved

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Last modified January 18 16:40 EST 2019. Contains 319271 sequences. (Running on oeis4.)