A029870 Number of connected functions on n points with a loop of length 7.

1, 1, 5, 21, 80, 285, 970, 3192, 10236, 32197, 99743, 305276, 925342, 2783012, 8316994, 24726109, 73195582, 215911767, 635028054, 1863156727, 5455350409, 15946267328, 46545783253, 135702643984, 395246786050, 1150250414764, 3345193851398, 9723141517918

Offset: 7

Author

Christian G. Bower

Keywords

• nonn

Links

• Andrew Howroyd, Table of n, a(n) for n = 7..500
• C. G. Bower, Transforms

Crossrefs

Column 7 of A339428.

Formula

"CIK[ 7 ]" (necklace, indistinct, unlabeled, 7 parts) transform of A000081.

a(n) ~ A187770 * A051491^n / n^(3/2). - Vaclav Kotesovec, Dec 25 2020

Extensions

Terms a(32) and beyond from Andrew Howroyd, Dec 04 2020