A098214 Sequence of special consecutive prime differences which can be arranged into rows of distinct differences with k=1,2,3,...length. Each row is obtained from segment of k+1 consecutive primes started with A079007[k].

1, 1, 2, 2, 4, 6, 6, 8, 4, 2, 14, 4, 6, 2, 10, 8, 4, 6, 12, 2, 18, 6, 8, 18, 10, 14, 4, 2, 10, 12, 8, 16, 14, 6, 4, 2, 10, 2, 16, 6, 20, 4, 12, 14, 28, 4, 14, 22, 12, 2, 18, 10, 6, 26, 24, 14, 16, 6, 20, 10, 12, 2, 18, 42, 4, 24, 18, 6, 4, 20, 22, 8, 12, 24, 16, 14, 10, 30, 6, 4, 20, 22, 8, 12

Offset

1,3

Comments

Rows generated by n-th term of A079007 are all distinct. See definition of A079007.

Links

Table of n, a(n) for n=1..84.

Example

Triangle begins:
1,
1,2,
2,4,6,
6,8,4,2,
14,4,6,2,10,
8,4,6,12,2,18,
6,8,18,10,14,4,2,
10,12,8,16,14,6,4,2,
10,2,16,6,20,4,12,14,28,
4,14,22,12,2,18,10,6,26,24,
14,16,6,20,10,12,2,18,42,4,24,
18,6,4,20,22,8,12,24,16,14,10,30,
6,4,20,22,8,12,24,16,14,10,30,18,2,
16,8,22,26,4,24,20,6,58,12,14,10,36,18,
16,8,22,26,4,24,20,6,58,12,14,10,36,18,2,
The 6th row {8,4,6,12,2,18}={a[16],...a[21]} is obtained as first
difference sequence of 7 primes started with prime[94]=491=A079007[6].
The k-th row starts and ends with terms a[1+k(k-1)/2] and a[ -1+k+k(k-1)/2].

Crossrefs

Cf. A001223, A079007, A098213.

Sequence in context: A160731 A323647 A302928 * A178883 A109832 A309075

Adjacent sequences: A098211 A098212 A098213 * A098215 A098216 A098217

Keyword

nonn,tabl

Author

Labos Elemer, Oct 21 2004

Status

approved