#include <Servo.h>
const byte servoPins[] = {2, 3, 4, 5, 6, 7, 8, 9, 10};
const byte servoCount = sizeof servoPins / sizeof * servoPins;
const int offset[servoCount] = {0, 30, 60, 0, 30, 60, 0, 30, 60}; // offest index in the animation

Servo servos[servoCount];

const int animation[] = { // sinusoidal animation starting at 90°
  90,  91,  93,  94,  96,  97,  99, 100, 102, 104, 105, 107, 108, 110, 111, 113, 114, 116,
  117, 119, 120, 122, 123, 125, 126, 128, 129, 130, 132, 133, 135, 136, 137, 139, 140, 141,
  142, 144, 145, 146, 147, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161,
  162, 163, 164, 165, 166, 167, 167, 168, 169, 170, 170, 171, 172, 172, 173, 174, 174, 175,
  175, 176, 176, 176, 177, 177, 178, 178, 178, 178, 179, 179, 179, 179, 179, 179, 179, 179,
  180, 179, 179, 179, 179, 179, 179, 179, 179, 178, 178, 178, 178, 177, 177, 176, 176, 176,
  175, 175, 174, 174, 173, 172, 172, 171, 170, 170, 169, 168, 167, 167, 166, 165, 164, 163,
  162, 161, 160, 159, 158, 157, 156, 155, 154, 153, 152, 151, 150, 149, 147, 146, 145, 144,
  142, 141, 140, 139, 137, 136, 135, 133, 132, 130, 129, 128, 126, 125, 123, 122, 120, 119,
  117, 116, 114, 113, 111, 110, 108, 107, 105, 104, 102, 100,  99,  97,  96,  94,  93,  91,
  90,  88,  86,  85,  83,  82,  80,  79,  77,  75,  74,  72,  71,  69,  68,  66,  65,  63,
  62,  60,  59,  57,  56,  54,  53,  51,  50,  49,  47,  46,  44,  43,  42,  40,  39,  38,
  37,  35,  34,  33,  32,  30,  29,  28,  27,  26,  25,  24,  23,  22,  21,  20,  19,  18,
  17,  16,  15,  14,  13,  12,  12,  11,  10,   9,   9,   8,   7,   7,   6,   5,   5,   4,
  4,   3,   3,   3,   2,   2,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,
  0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   2,   2,   3,   3,   3,
  4,   4,   5,   5,   6,   7,   7,   8,   9,   9,  10,  11,  12,  12,  13,  14,  15,  16,
  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,  28,  29,  30,  32,  33,  34,  35,
  37,  38,  39,  40,  42,  43,  44,  46,  47,  49,  50,  51,  53,  54,  56,  57,  59,  60,
  62,  63,  65,  66,  68,  69,  71,  72,  74,  75,  77,  79,  80,  82,  83,  85,  86,  88,
};
const size_t animationCount = sizeof animation / sizeof * animation;

void setup() {
  for (byte i = 0; i < servoCount; i++) {
    servos[i].write(animation[offset[i] % animationCount]); // set initial position based on offset before attaching
    servos[i].attach(servoPins[i]);
  }
  delay(5000); // time to see the offset at start
}

void loop() {
  for (int i = 0; i < 360; i++) {
    for (byte s = 0; s < servoCount; s++)servos[s].write(animation[(i + offset[s]) % animationCount]);
    delay(5);
  }
}