A083409 Number of prime k-tuplet constellations, i.e., patterns with minimal diameter A008407.

1, 2, 1, 2, 1, 2, 3, 4, 2, 2, 2, 6, 2, 4, 2, 4, 2, 4, 2, 2, 4, 2, 4, 18, 2, 8, 10, 2, 2, 2, 4, 14, 20, 2, 2, 2, 6, 26, 26, 8, 2, 6, 18, 4, 4, 4, 2, 2, 22, 22, 2, 2, 26, 6, 6, 2, 2, 4, 2, 2, 6, 2, 2, 2, 2, 18, 2, 20, 2, 2, 2, 10, 2, 14, 14, 40, 8, 2, 14, 14, 16, 4, 2, 2, 60, 50, 2, 2, 2, 16, 2, 18, 12

Offset

2,2

Links

T. D. Noe, Table of n, a(n) for n=2..305 (from Engelsma's data)

Thomas J Engelsma, Permissible Patterns.

Tony Forbes and Norman Luhn, Patterns of prime k-tuplets & the Hardy-Littlewood constants.

Eric Weisstein's World of Mathematics, k-Tuple Conjecture.

Example

For a(8) = 3 octuplet patterns see A065706. for a(6) = 1 sextet see A061671.

Crossrefs

Cf. A008407, A020497, A023193, A061671, A065688, A065706.

Sequence in context: A074641 A069003 A087855 * A344779 A317586 A303780

Adjacent sequences: A083406 A083407 A083408 * A083410 A083411 A083412

Keyword

nonn

Author

Frank Ellermann, Jun 07 2003

Extensions

More terms from Engelsma's website sent by T. D. Noe, Jul 21 2006

Status

approved