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A225243 Table read by rows, where row n contains the distinct primes that are contained in binary representation of n; first row = [1] by convention. 7
1, 2, 3, 2, 2, 5, 2, 3, 3, 7, 2, 2, 2, 5, 2, 3, 5, 11, 2, 3, 2, 3, 5, 13, 2, 3, 7, 3, 7, 2, 2, 17, 2, 2, 3, 19, 2, 5, 2, 5, 2, 3, 5, 11, 2, 3, 5, 7, 11, 23, 2, 3, 2, 3, 2, 3, 5, 13, 2, 3, 5, 11, 13, 2, 3, 7, 2, 3, 5, 7, 13, 29, 2, 3, 7, 3, 7, 31, 2, 2, 2, 17 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row n = primes in row n of tables A165416 or A119709.

LINKS

Reinhard Zumkeller, Rows n = 1..1024 of table, flattened

EXAMPLE

.   n   T(n,*)              |  in binary

.  ---  --------------------|-------------------------------------------

.   1:  1                   |  00001:  .

.   2:  2                   |  00100:  ___10

.   3:  3                   |  00011:  ___11

.   4:  2                   |  00100:  __10_

.   5:  2  5                |  00101:  ___10 _11__

.   6:  2  3                |  00110:  ___10 __11_

.   7:  3  7                |  00111:  __11_ __111

.   8:  2                   |  01000:  _10__

.   9:  2                   |  01001:  _10__

.  10:  2  5                |  01010:  _10__ _101_

.  11:  2  3  5 11          |  01011:  _10__ ___11 _101_ 01011

.  12:  2  3                |  01100:  ___10 _11__

.  13:  2  3  5 13          |  01101:  __10_ _11__ __101 01101

.  14:  2  3  7             |  01110:  ___10 _11__ _111_

.  15:  3  7                |  01111:  _11__ _111_

.  16:  2                   |  10000:  10___

.  17:  2 17                |  10001:  10___ 10001

.  18:  2                   |  10010:  10___

.  19:  2  3 19             |  10011:  10___ ___11 10011

.  20:  2  5                |  10100:  10___ 101__

.  21:  2  5                |  10101:  10___ 101__

.  22:  2  3  5 11          |  10110:  10___ __11_ 101__ 10110

.  23:  2  3  5  7 11 23    |  10111:  10___ __11_ 101__ __111 1011_ 10111

.  24:  2  3                |  11000:  _10__ 11___

.  25:  2  3                |  11001:  _10__ 11___ .

PROG

(Haskell)

a225243 n k = a225243_tabf !! (n-1) !! (k-1)

a225243_row n = a225243_tabf !! (n-1)

a225243_tabf = [1] : map (filter ((== 1) . a010051')) (tail a165416_tabf)

CROSSREFS

Cf. A078826 (row lengths), A078832 (left edge), A078833 (right edge), A004676, A007088.

Sequence in context: A292588 A225176 A118665 * A207338 A027746 A240230

Adjacent sequences:  A225240 A225241 A225242 * A225244 A225245 A225246

KEYWORD

nonn,tabf

AUTHOR

Reinhard Zumkeller, Aug 14 2013

STATUS

approved

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Last modified December 13 08:43 EST 2018. Contains 318082 sequences. (Running on oeis4.)