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octagonal n.  and  sphenic n.

First numbers that belong to both sets:

645, 1045, 1281, 2465, 2821, 3201, 3605, 7701, 8965, 12545, 15841, 17633, 18565, 20501, 23585, 24661, 25761, 26885, 30401, 34133, 36741, 45141, 51221, 52801, 57685, 59361, 62785, 66305, 68101, 71765, 73633, 89441, 95765, 100101, 116033, 120801, 123221, 125665, 138245, 146081, 148741, 154133, 156865, 162401, 168033, 173761, 182533, 191521, 246533, 260485, 274821, 300833, 312341, 348161, 373121, 377365, 398945, 403333, 425633, 430165, 439301, 453185, 457861, 472033, 505941, 510881, 520833, 525845, 530881, 546133, 577285, 603905, 642181, 704705, 740033, 758021, 782341, 794645, 800833, 813281, 832133, 851201, 864033, 883461, 896533, 916321, 949781, 956545, 976981, 1011521, 1018501, 1068033, 1075205, 1104133, 1118741, 1126081, 1163141, 1193221, 1231361, 1239061, 1254533, 1277921, 1309441, 1333333, 1349381, 1398101, 1406305, 1431061, 1447685, 1456033, 1472801, 1523681, 1549445, 1558081, 1636885, 1654661, 1744981, 1772545, 1781781, 1791041, 1828321, 1856533, 1875461, 1884961, 1981281, 2020481, 2050133, 2090005, 2110085, 2170901, 2201633, 2232581, 2242945, 2305633, 2326721, 2390561, 2401285, 2455265, 2520833, 2553941, 2587265, 2609601, 2688533, 2711301, 2803333, 2826581, 2838241, 2861633, 2896901, 2908705, 3040133, 3162133, 3186821, 3199201, 3224033, 3248961, 3311701, 3336965, 3349633, 3426145, 3451841, 3477633, 3581761, 3634401, 3700741, 3727445, 3740833, 3767681, 3821665, 3930785, 4013633, 4055381, 4083333, 4153633, 4253061, 4281685, 4324801, 4339221, 4353665, 4397141, 4440833, 4484741, 4632661, 4662533, 4737633, 4889633, 4951105, 4981985, 5012961, 5075201, 5185045, 5232481, 5280133, 5408261, 5472901, 5636181, 5652641, 5718721, 5751905, 5768533, 5818561, 5868805, 5885601, 5969941, 6003845, 6071941, 6106133, 6123265, 6209285, 6313301, 6488581, 6810133, 6846341, 6900833, 7065605, 7120961, 7139461, 7195105, 7250965, 7363333, 7400981, 7457633, 7476565, 7514501, 7744133, 7802081, 7860245, 8174101, 8373381, 8534533, 8636033, 8656405, 8697221, 8738133, 8882081, 8944133, 9089761, 9131585, 9215521, 9299841, 9576533, 9727201, 9748821, 9792133, 9900833, 10098005, 10164161, 10186261, 10230533, 10297121, 10341633, 10453333, 10498181, 10520641, 10565633, 10633301, 10769285, 10792033, 10997845, 11136133, 11298561, 11321861, 11485633, 11532641, 11674241, 11745365, 11816705, 11840533, 11912161, 11960033, 12128341, 12200833, 12346465, 12370821, 12468485, 12492961, 12541985, 12615701, 12640321, 12763781.

Some larger examples :