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centered pentagonal n.  and  economical n.

First numbers that belong to both sets:

1, 16, 31, 106, 141, 181, 331, 601, 1051, 1381, 1501, 1891, 2031, 2176, 2481, 3331, 3901, 4951, 5641, 5881, 9151, 10081, 10401, 11056, 11391, 11731, 12781, 13141, 14251, 14631, 15406, 16201, 17431, 17851, 19141, 20931, 21391, 21856, 22326, 22801, 23281, 24256, 24751, 31081, 33931, 41281, 43891, 51481, 52201, 60451, 61231, 63601, 67651, 70141, 70981, 84181, 92641, 100501, 101506, 103531, 104551, 107641, 109726, 111831, 112891, 116101, 120451, 122656, 124881, 126001, 128256, 129391, 130531, 132826, 133981, 139831, 143401, 144601, 148231, 153141, 154381, 155626, 158131, 159391, 161926, 163201, 165766, 169651, 173581, 174901, 178891, 180231, 182926, 185641, 187006, 189751, 193906, 195301, 198106, 200931, 203776, 206641, 212431, 213891, 218301, 219781, 224251, 225751, 230281, 231801, 236391, 244141, 248851, 250431, 256801, 261631, 263251, 274731, 294981, 308881, 314176, 317731, 323101, 324901, 330331, 345031, 346891, 367681, 375391, 385141, 393031, 415141, 417181, 427456, 433681, 439951, 459031, 467641, 474151, 485101, 491731, 511891, 520981, 527851, 539401, 546391, 548731, 567631, 574801, 582016, 603931, 606391, 626251, 633781, 636301, 674701, 695641, 698281, 763141, 819391, 839551, 874681, 901501, 934831, 937891, 984391, 1000141, 1009651, 1012831, 1019206, 1022401, 1025601, 1035231, 1038451, 1048141, 1051381, 1061131, 1077481, 1080766, 1100581, 1117231, 1120576, 1127281, 1130641, 1137376, 1140751, 1144131, 1157701, 1161106, 1167931, 1171351, 1178206, 1185081, 1195431, 1209301, 1212781, 1223251, 1226751, 1237281, 1240801, 1244326, 1251391, 1254931, 1262026, 1265581, 1269141, 1272706, 1294201, 1297801, 1308631, 1319506, 1326781, 1330426, 1337731, 1341391, 1348726, 1356081, 1359766, 1363456, 1367151, 1370851, 1381981, 1385701, 1396891, 1411881, 1415641, 1419406, 1426951, 1430731, 1438306, 1442101, 1449706, 1457331, 1461151, 1476481, 1484176, 1491891, 1507381, 1519051, 1522951, 1530766, 1534681, 1554331, 1566181, 1582051, 1590016, 1594006, 1618051, 1630141, 1634181, 1650391, 1662601, 1666681, 1678951, 1695381, 1699501, 1703626, 1711891, 1728481, 1732641, 1745151, 1749331, 1761901, 1778731, 1782951, 1791406, 1795641, 1799881, 1812631, 1816891, 1829701, 1846851, 1851151, 1864081, 1868401, 1881391, 1903141, 1916251, 1920631, 1929406.

Some larger examples :