A348925 Number of 4-sided prudent polygons of area n.

8, 16, 40, 96, 232, 560, 1336, 3176, 7480, 17528, 40776, 94336, 216976, 496432, 1130120, 2560648, 5776304, 12976112, 29036008, 64732992, 143814192, 318455632, 702983256, 1547254832, 3395989288, 7433962168, 16232357608, 35359307144, 76848753032, 166658534216

Offset: 1

Author

Vaclav Kotesovec, following a suggestion from Anthony Guttmann, Nov 04 2021

Keywords

• nonn

Links

• Nicholas R. Beaton and Anthony Guttmann, Table of n, a(n) for n = 1..800
• Nicholas R. Beaton, Philippe Flajolet, Tim Garoni and Anthony J. Guttmann, Some New Self-avoiding Walk and Polygon Models, Fundamenta Informaticae, vol. 117, 2012, pp. 19-33.
• Nicholas R. Beaton, Philippe Flajolet and Anthony J. Guttmann, The Enumeration of Prudent Polygons by Area and its Unusual Asymptotics, arXiv:1011.6195 [math.CO], Nov 29 2010, updated Nov 04 2021.

Crossrefs

Cf. A052548, A348838.