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amenable n.  and  happy n.

First numbers that belong to both sets:

1, 13, 28, 32, 44, 49, 68, 97, 100, 109, 129, 133, 176, 188, 192, 193, 208, 236, 280, 293, 301, 313, 320, 329, 356, 365, 368, 376, 392, 397, 404, 409, 440, 464, 469, 496, 536, 556, 565, 608, 617, 632, 637, 644, 649, 653, 656, 665, 673, 680, 700, 709, 716, 736, 748, 761, 784, 793, 820, 833, 836, 860, 881, 888, 901, 904, 912, 913, 921, 932, 937, 940, 964, 973, 989, 1000, 1009, 1029, 1033, 1076, 1088, 1092, 1093, 1112, 1121, 1125, 1128, 1141, 1148, 1152, 1177, 1184, 1185, 1188, 1209, 1212, 1221, 1233, 1257, 1277, 1281, 1285, 1288, 1300, 1309, 1332, 1333, 1337, 1353, 1373, 1393, 1444, 1448, 1457, 1472, 1481, 1484, 1512, 1521, 1528, 1533, 1557, 1572, 1581, 1636, 1697, 1717, 1724, 1725, 1733, 1744, 1745, 1748, 1752, 1760, 1769, 1772, 1784, 1785, 1796, 1808, 1812, 1821, 1825, 1828, 1841, 1844, 1852, 1857, 1880, 1881, 1888, 1900, 1920, 1929, 1933, 1976, 1992, 2008, 2036, 2080, 2093, 2109, 2112, 2121, 2133, 2157, 2177, 2181, 2185, 2188, 2212, 2221, 2224, 2245, 2257, 2260, 2285, 2300, 2309, 2313, 2333, 2360, 2369, 2393, 2396, 2417, 2425, 2448, 2452, 2457, 2484, 2485, 2517, 2524, 2528, 2545, 2548, 2557, 2568, 2572, 2581, 2584, 2620, 2685, 2693, 2717, 2725, 2741, 2745, 2748, 2752, 2784, 2800, 2825, 2833, 2844, 2845, 2852, 2856, 2865, 2881, 2901, 2933, 2936, 2989, 3001, 3013, 3020, 3029, 3056, 3065, 3068, 3076, 3092, 3097, 3100, 3109, 3132, 3133, 3137, 3153, 3173, 3193, 3200, 3209, 3213, 3233, 3260, 3269, 3293, 3296, 3301, 3308, 3312, 3313, 3317, 3321, 3328, 3329, 3332, 3356, 3364, 3365, 3376, 3380, 3392, 3436, 3456, 3465, 3513, 3536, 3553, 3560, 3564, 3605, 3608, 3616, 3620, 3629.

Some larger examples :