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A255313 Triangle read by rows: row n contains the sums of adjacent pairs of terms in row n of A088643. 6
3, 5, 3, 7, 5, 3, 7, 5, 7, 5, 11, 7, 5, 7, 5, 13, 11, 7, 5, 7, 5, 13, 11, 13, 11, 7, 5, 3, 17, 13, 11, 13, 11, 7, 5, 3, 19, 17, 13, 11, 13, 11, 7, 5, 3, 19, 17, 19, 17, 13, 11, 7, 5, 7, 5, 23, 19, 17, 19, 17, 13, 11, 7, 5, 7, 5, 23, 19, 17, 19, 23, 19, 13 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

T(n,k) = A088643(n,k-1) + A088643(n,k), 1 <= k <= n;

T(n,1) = A060265(n+1);

all terms are prime by definition of A088643;

see A255313 for sorted distinct terms and A255395 for number of distinct terms.

LINKS

Reinhard Zumkeller, Rows n = 1..125 of triangle, flattened

EXAMPLE

.  n |                  T(n,k)                    |       A255316

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

.  1 |  3                                         | 3

.  2 |  5  3                                      | 3 5

.  3 |  7  5  3                                   | 3 5  7

.  4 |  7  5  7  5                                | 5 7

.  5 | 11  7  5  7  5                             | 5 7 11

.  6 | 13 11  7  5  7  5                          | 5 7 11 13

.  7 | 13 11 13 11  7  5  3                       | 3 5  7 11 13

.  8 | 17 13 11 13 11  7  5  3                    | 3 5  7 11 13 17

.  9 | 19 17 13 11 13 11  7  5  3                 | 3 5  7 11 13 17 19

. 10 | 19 17 19 17 13 11  7  5  7  5              | 5 7 11 13 17 19

. 11 | 23 19 17 19 17 13 11  7  5  7  5           | 5 7 11 13 17 19 23

. 12 | 23 19 17 19 23 19 13 11  7  5  7  5        | 5 7 11 13 17 19 23

. 13 | 23 19 23 19 17 23 19 11  7 11 13  7  3     | 3 7 11 13 17 19 23

. 14 | 29 23 19 23 19 17 23 19 11  7 11 13  7  3  | 3 7 11 13 17 19 23 29

PROG

(Haskell)

a255313 n k = a255313_tabl !! (n-1) !! (k-1)

a255313_row n = a255313_tabl !! (n-1)

a255313_tabl = zipWith (zipWith (+)) tss $ map tail tss

               where tss = tail a088643_tabl

CROSSREFS

Cf. A088643, A255316, A255395, A060265.

Sequence in context: A089992 A074593 A144294 * A305883 A154800 A263175

Adjacent sequences:  A255310 A255311 A255312 * A255314 A255315 A255316

KEYWORD

nonn,tabl

AUTHOR

Reinhard Zumkeller, Feb 22 2015

STATUS

approved

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Last modified June 15 22:06 EDT 2021. Contains 345053 sequences. (Running on oeis4.)