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decagonal n.  and  tau n.

First numbers that belong to both sets:

1, 232, 2232, 14220, 25360, 36576, 49840, 65152, 165852, 229680, 295120, 303876, 330912, 418932, 483372, 588672, 745200, 801472, 920160, 1047040, 1164780, 1252720, 1270692, 1381212, 1400080, 1636480, 1804320, 2259760, 2356992, 3094960, 3208576, 3965076, 4323280, 4559292, 4593520, 5304960, 5528376, 5756400, 6226272, 7394320, 7746480, 7925632, 8428860, 9237040, 9630160, 10648800, 11070592, 11284560, 12782412, 13302432, 13536880, 14739840, 15994000, 16058052, 16250976, 16510000, 17232876, 17633700, 18933376, 19212880, 19494432, 21226752, 21522640, 24594160, 26206720, 26866080, 27533632, 28550320, 28893312, 29151900, 29672532, 30994272, 31262076, 32072400, 32893092, 34659712, 35417376, 35799280, 38034972, 38928240, 39228300, 39730960, 43023760, 47324080, 48208720, 49551040, 50456160, 51829200, 55104640, 56539120, 62968192, 65016000, 65792376, 68149152, 71356032, 71762076, 71897680, 72987120, 74222532, 74636640, 77990976, 83160720, 84332080, 89099440, 89704576, 95242960, 96496240, 97125952, 99665280, 99985000, 101108052, 102885520, 109479600, 110150272, 111497760, 112853440, 115589376, 116278480, 121159552, 123282160, 129032560, 130490640, 135658432, 136404880, 137153376, 143982000, 144750976, 150976512, 154138432, 161372560, 167942160, 169605040, 175489632, 176338480, 180613440, 182553876, 184070272, 186465852, 191082240, 196427232, 198225280, 198450612, 201845952, 202756240, 204582960, 207338400, 212904576, 213839440, 219254652, 223300720, 224977500, 228108160, 230045472, 231990976, 235906560, 240847120, 241841376, 242837680, 243836032, 251642700, 252913360, 253932192, 261121360, 262415700, 263973132, 271565680, 276864640, 282214800, 289791040, 291974112, 294165376, 295264080, 297743652, 300233592, 304127440, 305244576, 306083772, 306363760, 311990400, 315390960, 316528576, 317668240, 317953476, 318809952, 330339712, 332670240, 339710976, 346825440, 349213312, 352810480, 354013632, 368611200, 377262640, 383503680, 388533376, 389795920, 391060512, 398691072, 399970000, 408979840, 412871920, 423011772, 424658752, 425978640, 428955876, 429950592, 437949792, 439290160, 451445632, 452806480, 454169376, 455534320, 456901312, 462389760, 466527600, 473464960, 480453520, 487493280, 494584240, 496008576, 504597600, 507476992, 508919760, 511811440, 519076480, 523460080, 530807040, 536721472, 542668672, 553155120, 556169680, 556547076, 566785152, 583669360, 586765840, 591425920, 594542880, 602371120, 616590976, 622964160, 630976720, 632585376, 634196080, 644715576, 652048992, 663538960, 666840240, 668493952, 671807520, 675129280, 680127280, 683469520, 693124092, 695231872, 696920400, 712209312, 713918320, 715629376, 722494080, 732852576, 750280576, 752034640, 766140880, 769687920, 771464512, 775023840, 778591360, 783958000, 787546000, 805608880, 807426432, 819748476, 836785792, 838638160, 840492576, 851662080, 853063452, 857274480, 874222272, 898995280, 908615520, 912961332, 920227392, 933867760, 939253932, 953528080, 957484720, 973393200, 979392672, 991446912, 997501680.