Сколько существует трехзначных чисел, у которых любые две соседние цифры различаются на два

Список чисел:

102, 113, 120, 124, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 142, 146, 153, 157, 164, 168, 175, 179, 186, 197, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 213, 220, 224, 231, 235, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 253, 257, 264, 268, 275, 279, 286, 297, 302, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 324, 331, 335, 342, 346, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 364, 368, 375, 379, 386, 397, 402, 413, 420, 421, 422, 423, 424, 425, 426, 427,

428, 429, 431, 435, 442, 446, 453, 457, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 475, 479, 486, 497, 502, 513, 520, 524, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 542, 546, 553, 557, 564, 568, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 586, 597, 602, 613, 620, 624, 631, 635, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 653, 657, 664, 668, 675, 679, 680, 681, 682, 683, 684, 685, 686, 687,

688, 689, 697, 702, 713, 720, 724, 731, 735, 742, 746, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 764, 768, 775, 779, 786, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 802, 813, 820, 824, 831, 835, 842, 846, 853, 857, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 875, 879, 886, 897, 902, 913, 920, 924, 931, 935, 942, 946, 953, 957, 964, 968, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 986, 997