The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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]. 0
 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 (list; table; graph; refs; listen; history; text; internal format)
 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 21 15:14 EDT 2024. Contains 372738 sequences. (Running on oeis4.)