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self n.  and  triangular n.

First numbers that belong to both sets:

1, 3, 378, 435, 703, 861, 2145, 2211, 2415, 2628, 3403, 3741, 4371, 4753, 6441, 9870, 11325, 11628, 12403, 12561, 20301, 20503, 21528, 23653, 24531, 28680, 30135, 30381, 31125, 34453, 34980, 37950, 41328, 43071, 50721, 63903, 65703, 67896, 73153, 78606, 81003, 88831, 89676, 94830, 102831, 104653, 107880, 112101, 124251, 126253, 131328, 134421, 161028, 169653, 186966, 200661, 203203, 207690, 213531, 229503, 230181, 243253, 257403, 261003, 269011, 290703, 299925, 303810, 314028, 316410, 323610, 325221, 332520, 334153, 349866, 353220, 367653, 372816, 397386, 430128, 438516, 447931, 460320, 471906, 504510, 520710, 538203, 541320, 568711, 580503, 584821, 592416, 597871, 626640, 649230, 653796, 662976, 701520, 712221, 715806, 720600, 748476, 776881, 783126, 790653, 791911, 795691, 821121, 844350, 848253, 869221, 870540, 886446, 889111, 901153, 903840, 930930, 936396, 947376, 959805, 970921, 1004653, 1006071, 1094460, 1148370, 1192740, 1195831, 1202025, 1217580, 1252153, 1298466, 1326006, 1371996, 1381953, 1388611, 1422141, 1437360, 1452660, 1471470, 1493856, 1507716, 1514670, 1544403, 1554966, 1595791, 1615503, 1624503, 1679028, 1686366, 1727011, 1736316, 1755001, 1786995, 1800253, 1813560, 1836486, 1844160, 1869211, 1943406, 1955253, 1957231, 1965153, 1977066, 1985028, 1999000, 2015028, 2035153, 2039190, 2043231, 2087946, 2100225, 2153850, 2172570, 2180916, 2197656, 2241903, 2248260, 2254626, 2327403, 2338203, 2425503, 2463090, 2467531, 2471976, 2543640, 2568511, 2591226, 2595781, 2639253, 2646150, 2717946, 2731953, 2743653, 2769481, 2823876, 2838153, 2847691, 2866815, 2876401, 2883601, 2907666, 2978020, 2992681, 3076440, 3083886, 3121251, 3153816, 3178981, 3181503, 3196656, 3232153, 3267846, 3283203, 3357936, 3420420, 3454506, 3475566, 3488761, 3499335, 3539130, 3547116, 3638253, 3651753, 3678828, 3697840, 3744216, 3752430, 3760653, 3768885, 3771631, 3793635, 3818466, 3840606, 3938221, 3943836, 3966336, 3971971, 3980431, 3988900, 3991725, 4025703, 4034220, 4154403, 4171716, 4212253, 4252986, 4261740, 4270503, 4355676, 4394130, 4400061, 4459591, 4465566, 4495501, 4501500, 4552653, 4570776, 4674153, 4677211, 4686391, 4707846, 4794156, 4803450, 4812753, 4862521, 4871881, 4909411, 4959675, 4962825, 4997541, 5019696, 5099221, 5112003, 5121600, 5240703, 5276376, 5279625, 5292631, 5443350, 5449951.

Some larger examples :