The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A002026 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A002026

Generalized ballot numbers (first differences of Motzkin numbers).
(history; published version)

#140 by Alois P. Heinz at Wed Nov 27 11:35:45 EST 2024

STATUS

proposed

approved

#139 by Michael De Vlieger at Wed Nov 27 10:59:46 EST 2024

STATUS

editing

proposed

#138 by Michael De Vlieger at Wed Nov 27 10:59:44 EST 2024

LINKS

Reinis Cirpons, James East, and James D. Mitchell, <a href="https://arxiv.org/abs/2411.14693">Transformation representations of diagram monoids</a>, arXiv:2411.14693 [math.RA], 2024. See pp. 3, 33.

STATUS

approved

editing

#137 by Michel Marcus at Tue Jul 30 01:53:36 EDT 2024

STATUS

reviewed

approved

#136 by Joerg Arndt at Tue Jul 30 01:42:01 EDT 2024

STATUS

proposed

reviewed

#135 by Jason Yuen at Mon Jul 29 21:48:22 EDT 2024

STATUS

editing

proposed

#134 by Jason Yuen at Mon Jul 29 21:48:05 EDT 2024

FORMULA

a(n) = Sum_{b = 1..(n+1)/2) } C(n, 2b-1)*C(2b, b)/(b+1).

STATUS

approved

editing

#133 by Michael De Vlieger at Fri Mar 01 09:57:44 EST 2024

STATUS

proposed

approved

#132 by Michel Marcus at Fri Mar 01 09:45:22 EST 2024

STATUS

editing

proposed

#131 by Michel Marcus at Fri Mar 01 09:45:17 EST 2024

REFERENCES

Guttmann A J and Jensen I 2022 Self-avoiding walks and polygons crossing a domain on the square and hexagonal lattices Journal of Physics A: Mathematical and Theoretical 55 012345, (33pp) ; arXiv:2208.06744, Aug 2022.

LINKS

Anthony J. Guttmann and Iwan Jensen, <a href="https://arxiv.org/abs/2208.06744">Self-avoiding walks and polygons crossing a domain on the square and hexagonal lattices</a>, arXiv:2208.06744 [math-ph], 2022; Journal of Physics A: Mathematical and Theoretical 55 012345, (33pp).

STATUS

proposed

editing