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We report the measurement of spin waves in the bilayer colossalmagnetoresistive manganites La(2-2x)Sr(1+2x)Mn2O7 with x=0.30, 0.35 and 0.40.For x=0.35 and 0.40 the entire acoustic and optic dispersion relations arereasonably well described by those for a bilayer Heisenberg Hamiltonian withnearest neighbour exchange only. The in-plane coupling is only weakly dependenton x, but the coupling between the planes of a bilayer changes by a factor offour. The results directly reveal the change from mixed and character of theorbitals to mostly character with increasing hole concentration.Comment: 8 pages, which include 4 figure

Spectacular Doping Dependence of Interlayer Exchange and Other Results on Spin Waves in Bilayer Manganites