The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A288527 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A288527

Number of (undirected) paths in the grid graph P_3 X P_n.
(history; published version)

#12 by Bruno Berselli at Mon Jun 12 08:10:50 EDT 2017

STATUS

reviewed

approved

#11 by Joerg Arndt at Mon Jun 12 07:38:26 EDT 2017

STATUS

proposed

reviewed

#10 by Andrew Howroyd at Sun Jun 11 21:49:06 EDT 2017

STATUS

editing

proposed

#9 by Andrew Howroyd at Sun Jun 11 21:47:10 EDT 2017

LINKS

Andrew Howroyd, <a href="/A288527/b288527.txt">Table of n, a(n) for n = 1..200</a>

STATUS

reviewed

editing

Discussion

Sun Jun 11

21:48

Andrew Howroyd: The bfile is by brute force and not empirical recurrence and indeed the recurrence is derived from this - I previously forgot to attach.

#8 by Michel Marcus at Sun Jun 11 15:06:18 EDT 2017

STATUS

proposed

reviewed

#7 by Colin Barker at Sun Jun 11 14:11:35 EDT 2017

STATUS

editing

proposed

#6 by Colin Barker at Sun Jun 11 14:11:23 EDT 2017

FORMULA

Empirical g.f.: x*(3 + 19*x - 57*x^2 + 34*x^3 + 43*x^4 - 7*x^5 - 13*x^6 - 2*x^7) / ((1 - x)^3*(1 - 2*x - x^2)^2*(1 - 3*x - x^2)). - Colin Barker, Jun 11 2017

STATUS

approved

editing

#5 by N. J. A. Sloane at Sat Jun 10 22:35:11 EDT 2017

STATUS

proposed

approved

#4 by Andrew Howroyd at Sat Jun 10 21:11:38 EDT 2017

STATUS

editing

proposed

#3 by Andrew Howroyd at Sat Jun 10 21:10:50 EDT 2017

FORMULA

Empirical: a(n) = 10*a(n-1)-37*a(n-2)+59*a(n-3)-27*a(n-4)-25*a(n-5)+21*a(n-6)+5*a(n-7)-4*a(n-8)-a(n-9) for n>9.