cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-2 of 2 results.

A342283 a(n) = A342282(n)/2.

Original entry on oeis.org

0, 1, 1, 3, 12, 55, 275, 1461, 8121, 46760, 276990, 1679692, 10388794, 65348331, 417122415, 2696925449, 17636415027, 116508178394, 776713914842, 5220901613826, 35357775815996, 241100774277388, 1654405307080112, 11418270330490544, 79229054480527932, 552492413404591296
Offset: 0

Views

Author

N. J. A. Sloane, Mar 19 2021

Keywords

Crossrefs

Cf. A342282.

A342284 Number of friendly 3-watermelons of length n.

Original entry on oeis.org

1, 0, 2, 6, 24, 110, 550, 2922, 16242, 93520, 553980, 3359384, 20777588, 130696662, 834244830, 5393850898, 35272830054, 233016356788, 1553427829684, 10441803227652, 70715551631992, 482201548554776, 3308810614160224, 22836540660981088, 158458108961055864
Offset: 0

Views

Author

N. J. A. Sloane, Mar 19 2021

Keywords

References

  • Essam, J.W. and Guttmann, A.J., 1995. Vicious walkers and directed polymer networks in general dimensions. Physical Review E, 52(6), pp. 5849ff. See (63).
  • Iwan Jensen, Three friendly walkers, Journal of Physics A: Mathematical and Theoretical, Volume 50:2 (2017), #24003, 14 pages; https://doi.org/10.1088/1751-8121/50/2/024003. See F_3(x).

Crossrefs

Cf. A001181, A342282.

Formula

G.f. = 1 - 2*x + G(x), where G(x) = 2*x+2*x^2+6*x^3+24*x^4+110*x^5+550*x^6+... is the g.f. for A342282.
Showing 1-2 of 2 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.