A006297 Number of rooted genus-1 maps with n edges.

1, 10, 167, 1720, 24164, 256116, 3392843, 36703824, 472592916, 5188948072, 65723863196, 729734918432, 9145847808784, 102432266545800, 1274461449989715, 14373136466094880, 177882700353757460, 2017523504473479992, 24868664942648145372

Offset: 2

Author

N. J. A. Sloane

Keywords

• nonn

References

• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
• T. R. S. Walsh, Combinatorial Enumeration of Non-Planar Maps. Ph.D. Dissertation, Univ. of Toronto, 1971.

Links

• T. R. S. Walsh and A. B. Lehman, Counting rooted maps by genus, J. Comb. Thy B13 (1972), 122-141 and 192-218.
• Notes

Crossrefs

Row maxima of A269921.

Extensions

More terms from Sean A. Irvine, Feb 24 2017