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

Author

Frank Ellermann, Jun 07 2003

Keywords

• nonn

Examples

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

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.

Crossrefs

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

Extensions

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