looking at this graph
400nm-525nm
and
600nm-675nm
would cover most of the spectrum
Phycocyanin absorbs orange and red light, particularly near 620 nm (depending on which specific type it is), and emits fluorescence at about 650 nm
How the Sunlight Effects Plant Growth
200 - 280 nm UVC ultraviolet range which is extremely harmful to plants because it is highly toxic.
280 - 315 nm Includes harmful UVB ultraviolet light which causes plants colors to fade.
315 - 380 nm Range of UVA ultraviolet light which is neither harmful nor beneficial to plant growth.
380 - 400 nm Start of visible light spectrum. Process of chlorophyll absorption begins. UV protected plastics ideally block out any light below this range.
400 - 520 nm This range includes violet, blue, and green bands. Peak absorption by chlorophyll occurs, and a strong influence on photosynthesis. (promotes vegetative growth)
520 - 610 nm This range includes the green, yellow, and orange bands and has less absorption by pigments.
610 - 720 nm This is the red band. Large amount of absorption by chlorophyll occurs, and most significant influence on photosynthesis. (promotes flowering and budding)
720 - 1000 nm There is little absorption by chlorophyll here. Flowering and germination is influenced. At the high end of the band is infrared, which is heat.
1000+ nm
The ratios of Red to Blue are very important. Not enough blue vs red in early stages doesn't work. I think the next good step to add is dimming capability to control these ratios as the plants grow

Oh and did i mentioned that in China they developed a single 200w led that is 2 inches in length and emits 200,000 lumen! But it's a long way from production, 10 years most likely...
Llynx - Dedicated commercial grow lighting coming from the SolarOasis research laboratory in 2008...