The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A340185 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A340185

Number of spanning trees in the halved Aztec diamond HOD_n.
(history; published version)

#43 by Michael De Vlieger at Tue Feb 28 23:47:29 EST 2023

STATUS

proposed

approved

#42 by Jon E. Schoenfield at Tue Feb 28 23:18:02 EST 2023

STATUS

editing

proposed

#41 by Jon E. Schoenfield at Tue Feb 28 23:18:00 EST 2023

FORMULA

a(n) ~ sqrt(Gamma(1/4)) * exp(G*(2*n+1)^2/Pi) / (Pi^(3/8) * n^(3/4) * 2^(n + 3/4) * (1 + sqrt(2))^(n + 1/2)), where G is the Catalan's constant A006752. - Vaclav Kotesovec, Jan 03 2021

STATUS

approved

editing

#40 by Peter Luschny at Sun Jan 03 04:53:33 EST 2021

STATUS

reviewed

approved

#39 by Joerg Arndt at Sun Jan 03 03:42:51 EST 2021

STATUS

proposed

reviewed

#38 by Vaclav Kotesovec at Sun Jan 03 03:38:35 EST 2021

STATUS

editing

proposed

#37 by Vaclav Kotesovec at Sun Jan 03 03:38:20 EST 2021

MATHEMATICA

Table[4^((n-1)*n) * Product[Product[(1 - Cos[j*Pi/(2*n + 1)]^2*Cos[k*Pi/(2*n + 1)]^2), {k, j+1, n}], {j, 1, n}], {n, 0, 12}] // Round (* Vaclav Kotesovec, Jan 03 2021 *)

#36 by Vaclav Kotesovec at Sun Jan 03 03:36:41 EST 2021

FORMULA

a(n) ~ sqrt(Gamma(1/4)) * exp(G*(2*n+1)^2/Pi) / (Pi^(3/8) * n^(3/4) * 2^(n + 3/4) * (1 + sqrt(2))^(n + 1/2)), where G is the Catalan's constant A006752. - Vaclav Kotesovec, Jan 03 2021

STATUS

proposed

editing

#35 by Jon E. Schoenfield at Sat Jan 02 15:47:55 EST 2021

STATUS

editing

proposed

#34 by Jon E. Schoenfield at Sat Jan 02 15:47:53 EST 2021

FORMULA

From Seiichi Manyama, Jan 02 2021 : (Start)

STATUS

proposed

editing