A087645 Third column of A071223.
2, 6, 24, 72, 172, 352, 646, 1094, 1742, 2642, 3852, 5436, 7464, 10012, 13162, 17002, 21626, 27134, 33632, 41232, 50052, 60216, 71854, 85102, 100102, 117002, 135956, 157124, 180672, 206772, 235602, 267346, 302194, 340342, 381992, 427352, 476636
Offset: 2
Links
- Colin Barker, Table of n, a(n) for n = 2..1000
- Alvaro Carbonero, Beth Anne Castellano, Gary Gordon, Charles Kulick, Karie Schmitz, and Brittany Shelton, Permutations of point sets in R_d, arXiv:2106.14140 [math.CO], 2021.
- T. M. Cover, The number of linearly inducible orderings of points in d-space, SIAM J. Applied Math., 15 (1967), 434-439.
- Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
Programs
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Mathematica
CoefficientList[Series[-2 x^2*(x^4 - 4 x^3 + 7 x^2 - 2 x + 1)/(x - 1)^5, {x, 0, 38}], x][[3 ;; -1]] (* Michael De Vlieger, Oct 19 2021 *) -
PARI
Vec(-2*x^2*(x^4-4*x^3+7*x^2-2*x+1)/(x-1)^5 + O(x^100)) \\ Colin Barker, Dec 06 2014
Formula
a(n) = A052149(n+1) + 2.
a(n) = (3*n^4-10*n^3+9*n^2-2*n+24)/12. - Vladeta Jovovic, Oct 26 2003
G.f.: -2*x^2*(x^4-4*x^3+7*x^2-2*x+1) / (x-1)^5. - Colin Barker, Dec 06 2014
Extensions
More terms from Vladeta Jovovic, Oct 26 2003