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A093573 Triangle read by rows: row n gives positions where n occurs in the Golay-Rudin-Shapiro related sequence A020986. 1
0, 1, 3, 2, 4, 6, 5, 7, 13, 15, 8, 12, 14, 16, 26, 9, 11, 17, 19, 25, 27, 10, 18, 20, 22, 24, 28, 30, 21, 23, 29, 31, 53, 55, 61, 63, 32, 50, 52, 54, 56, 60, 62, 64, 106, 33, 35, 49, 51, 57, 59, 65, 67, 105, 107, 34, 36, 38, 48, 58, 66, 68, 70, 104, 108, 110, 37, 39, 45 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Each positive integer n occurs n times, so the n-th row has length n.

LINKS

Reinhard Zumkeller, Rows n = 1..150 of triangle, flattened

John Brillhart, Patrick Morton, Über Summen von Rudin-Shapiroschen Koeffizienten, (German) Illinois J. Math. 22 (1978), no. 1, 126--148. MR0476686 (57 #16245). - N. J. A. Sloane, Jun 06 2012

Eric Weisstein's World of Mathematics, Rudin-Shapiro Sequence

EXAMPLE

A020986(n) for n = 0, 1, ... is 1, 2, 3, 2, 3, 4, 3, 4, 5, 6, ..., so the positions of 1, 2, 3, 4, ... are 0; 1, 3; 2, 4, 6; 5, 7, 13, 15; ...

From Seiichi Manyama, Apr 23 2017: (Start)

Triangle begins:

   0,

   1,  3,

   2,  4,  6,

   5,  7, 13, 15,

   8, 12, 14, 16, 26,

   9, 11, 17, 19, 25, 27,

  10, 18, 20, 22, 24, 28, 30,

  21, 23, 29, 31, 53, 55, 61, 63,

  32, 50, 52, 54, 56, 60, 62, 64, 106,

  33, 35, 49, 51, 57, 59, 65, 67, 105, 107,

  34, 36, 38, 48, 58, 66, 68, 70, 104, 108, 110,

  ... (End)

PROG

(Haskell)

a093573 n k = a093573_row n !! (k-1)

a093573_row n = take n $ elemIndices n a020986_list

a093573_tabl = map a093573_row [1..]

-- Reinhard Zumkeller, Jun 06 2012

CROSSREFS

Column k=1 gives A212591.

Cf. A020985, A020986, A020991.

Sequence in context: A254107 A116942 A254108 * A126290 A277377 A227741

Adjacent sequences:  A093570 A093571 A093572 * A093574 A093575 A093576

KEYWORD

nonn,tabl

AUTHOR

Eric W. Weisstein, Apr 01 2004

EXTENSIONS

Offset corrected by Reinhard Zumkeller, Jun 06 2012

STATUS

approved

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Last modified November 20 12:18 EST 2017. Contains 294966 sequences.