A006462 Percolation series for directed square lattice. (Formerly M0186)

1, 0, -1, -2, -2, 0, 2, 4, 3, 0, -1, 6, 28, 72, 139, 242, 407, 722, 1215, 2348, 3753, 7186, 9558, 21800, 16576, 61234, -7978, 226136, -446034, 1118180, -3180033, 6428640, -24607343, 56904504, -176451720, 379824634, -1133204742, 3043377452, -9446665098, 25288847986

Offset

0,4

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=0..39.

R. J. Baxter and A. J. Guttmann, Series expansion of the percolation probability for the directed square lattice, J. Phys. A 21 (1988), 3193-3204.

Formula

G.f.: P(x-x^3-x^4+x^5), where P(q) is the g.f. of A006461. - Andrey Zabolotskiy, Nov 28 2024

Crossrefs

Cf. A006461.

Sequence in context: A355837 A372470 A261277 * A278483 A008281 A094671

Adjacent sequences: A006459 A006460 A006461 * A006463 A006464 A006465

Keyword

sign,changed

Author

N. J. A. Sloane

Extensions

Terms a(34) and beyond added by Andrey Zabolotskiy, Nov 28 2024

Status

approved