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A264662 Triangle read by rows: row n contains the first n primes in lexicographical order of their mirrored binary representation. 3
2, 2, 3, 2, 5, 3, 2, 5, 3, 7, 2, 5, 3, 11, 7, 2, 5, 13, 3, 11, 7, 2, 17, 5, 13, 3, 11, 7, 2, 17, 5, 13, 3, 19, 11, 7, 2, 17, 5, 13, 3, 19, 11, 7, 23, 2, 17, 5, 13, 29, 3, 19, 11, 7, 23, 2, 17, 5, 13, 29, 3, 19, 11, 7, 23, 31, 2, 17, 5, 37, 13, 29, 3, 19, 11 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

T(n,A263856(n)) = A000040(n): A263856(n) = index of prime(n) in n-th row.

LINKS

Reinhard Zumkeller, Rows n = 1..250 of triangle, flattened

EXAMPLE

.   n |   T(n,k), k=1..n

. ----+-----------------------------------------------------------------

.   1 | 2                          01

.   2 | 2  3                       01 11

.   3 | 2  5  3                    01 101   11

.   4 | 2  5  3  7                 01 101   11   111

.   5 | 2  5  3 11  7              01 101   11   1101 111

.   6 | 2  5 13  3 11  7           01 101   1011 11   1101 111

.   7 | 2 17  5 13  3 11  7        01 10001 101  1011 11   1101  111

.   8 | 2 17  5 13  3 19 11  7     01 10001 101  1011 11   11001 1101 111

.   9 | 2 17  5 13  3 19 11  7 23

.  10 | 2 17  5 13 29  3 19 11  7 23

.  11 | 2 17  5 13 29  3 19 11  7 23 31

.  12 | 2 17  5 37 13 29  3 19 11  7 23 31

.  13 | 2 17 41  5 37 13 29  3 19 11  7 23 31

.  14 | 2 17 41  5 37 13 29  3 19 11 43 7  23 31

.  15 | 2 17 41  5 37 13 29  3 19 11 43  7 23 47 31

.  16 | 2 17 41  5 37 53 13 29  3 19 11 43  7 23 47 31

.  17 | 2 17 41  5 37 53 13 29  3 19 11 43 59  7 23 47 31

.  18 | 2 17 41  5 37 53 13 29 61  3 19 11 43 59  7 23 47 31

.  19 | 2 17 41  5 37 53 13 29 61  3 67 19 11 43 59  7 23 47 31

.  20 | 2 17 41  5 37 53 13 29 61  3 67 19 11 43 59  7 71 23 47 31

PROG

(Haskell)

import Data.List (inits, sortBy); import Data.Function (on)

a264662 n k = a264662_tabl !! (n-1) !! (n-1)

a264662_row n = a264662_tabl !! (n-1)

a264662_tabl = map (sortBy (compare `on` (reverse . show . a007088))) $

                   tail $ inits a000040_list

CROSSREFS

Cf. A263846, A000040, A007088, A007504 (row sums), A264666 (partial row products), A037126 (rows sorted naturally).

Sequence in context: A076396 A076397 A254269 * A076403 A157987 A025478

Adjacent sequences:  A264659 A264660 A264661 * A264663 A264664 A264665

KEYWORD

nonn,tabl

AUTHOR

Reinhard Zumkeller, Nov 20 2015

STATUS

approved

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Last modified February 23 07:47 EST 2018. Contains 299473 sequences. (Running on oeis4.)