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Operad: DoubleLie

abbreviations
DoubleLie, Lie2
category
vec
type
symetrique
dimensions

1, 2, 9, 64, 625, 7776, 117649, 2097152, 43046721, 1000000000

OEIS: A000169

Formula: n**(n - 1)

Serie: (x * exp(-x)).reverse()

Actions: s[1], 2*s[1, 1], s[1, 1, 1] + 4*s[2, 1], 2*s[1, 1, 1, 1] + 10*s[2, 1, 1] + 4*s[2, 2] + 8*s[3, 1], 5*s[1, 1, 1, 1, 1] + 25*s[2, 1, 1, 1] + 29*s[2, 2, 1] + 31*s[3, 1, 1] + 25*s[3, 2] + 16*s[4, 1], 12*s[1, 1, 1, 1, 1, 1] + 64*s[2, 1, 1, 1, 1] + 118*s[2, 2, 1, 1] + 54*s[2, 2, 2] + 112*s[3, 1, 1, 1] + 180*s[3, 2, 1] + 54*s[3, 3] + 98*s[4, 1, 1] + 78*s[4, 2] + 32*s[5, 1]

properties
Koszul, binary, quadratic
Koszul dual operad
Com2
generateurs
  • generator a of type s[1, 1]
  • generator b of type s[1, 1]

References