This page has the numbers for bush beans: 4 inches between plants with 24 inches between rows, nine to a square foot, direct sown a week after your last frost, an inch of water a week, and a quarter to half a pound per plant in 50 to 65 days.
One number is deliberately absent. Beans need no nitrogen fertilizer at all — they fix their own, and feeding them gives foliage instead of pods. The page also covers the choice between bush and pole, which changes both the spacing above and how long the crop lasts.
Bush or pole
This choice shapes everything else.
Bush beans grow knee-high, need no support, and produce most of their crop in a two or three week burst. That concentration is useful if you are freezing or canning, and awkward if you want beans for dinner through the summer. Sow them in succession every two or three weeks.
Pole beans climb six to eight feet, take a few weeks longer to start, and then crop steadily until frost. From the same square footage they give considerably more over a season, and picking at standing height is kinder on the back. They need a tepee, a trellis or strings.
Sowing
Direct sow about a week after your last frost date, into properly warm soil. Beans dislike transplanting and grow fast enough that there is nothing to gain from starting them indoors.
Sow an inch deep, and resist watering heavily until they are up — a bean seed sitting in cold wet soil rots. Two seeds per station, thinned to one, covers the losses.
Space bush beans four inches apart with 24 inches between rows; nine to a square foot works in a bed. Pole beans want four to six inches along the base of their support.
Why you should not feed them
Beans host bacteria in root nodules that convert atmospheric nitrogen into a form the plant can use. Given nitrogen fertilizer, the plant takes the easy route: lots of leaf, few pods, and the nodules do not form properly.
So skip the nitrogen entirely. If a soil test shows phosphorus or potassium are low, address those. Otherwise a bean bed needs nothing beyond reasonable soil, and the crop leaves the bed slightly better than it found it — which is why beans are a useful thing to rotate through a bed before a hungry crop like brassicas.
Water
An inch a week, with particular attention during flowering and pod set. A dry spell at flowering costs pods directly. Water the soil rather than the foliage: wet leaves spread rust and anthracnose, both of which show up on beans given the chance.
Mulching helps, and so does spacing that lets air move between plants.
Picking
Every two or three days, and pick young. A pod picked while the seeds inside are still small is tender; one left to bulge is stringy, and worse, signals the plant to stop. This is the whole technique of getting a long harvest out of beans.
Pick with two hands — one holding the vine, one pulling the pod — or you will pull whole stems off a pole bean.
If a row gets ahead of you, let the remaining pods fill out completely and dry on the plant, and use them as shelling or dried beans instead. A crop that has gone past its best for fresh eating has simply become a different crop.
Common trouble
Mexican bean beetle larvae skeletonise leaves from underneath. Hand-picking the yellow egg clusters early is the effective response.
Rust and anthracnose both appear as spots on leaves and pods in humid weather. Space generously, keep foliage dry, and do not work among wet plants.
Nothing setting in a heat wave is temporary rather than a problem to solve.