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A256015 Triangle read by rows: n-th row contains all distinct primes which are representable as the sum of some subset of the set of first n primes. 3
2, 2, 3, 5, 2, 3, 5, 7, 2, 3, 5, 7, 17, 2, 3, 5, 7, 11, 13, 17, 19, 23, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A066028(n) = T(n,A108018(n)).

LINKS

Reinhard Zumkeller, Rows n = 1..25 of triangle, flattened

EXAMPLE

.  1:  2 |

.  2:  2 3 | 5

.  3:  2 3 5 | 7

.  4:  2 3 5 7 | 17

.  5:  2 3 5 7 11 | 13  17  19  23

.  6:  2 3 5 7 11 13 | 17  19  23  29  31  41

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

.  8:  2 3 5 7 11 13 17 19 | 23  29  31  37  41  43  47  53  59  61  67 .

PROG

(Haskell)

import Data.List (subsequences, nub, sort)

a256015 n k = a256015_tabf !! (n-1) !! (k-1)

a256015_row n = a256015_tabf !! (n-1)

a256015_tabf = map (sort . filter ((== 1) . a010051') . nub .

                map sum . tail . subsequences) (tail $ inits a000040_list)

CROSSREFS

Cf. A010051, A000040, A108018 (row lengths), A066028 (right edge).

Sequence in context: A140183 A280408 A130725 * A138117 A175908 A152430

Adjacent sequences:  A256012 A256013 A256014 * A256016 A256017 A256018

KEYWORD

nonn,tabf

AUTHOR

Reinhard Zumkeller, Jun 01 2015

STATUS

approved

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Last modified December 9 23:01 EST 2019. Contains 329880 sequences. (Running on oeis4.)