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centered decagonal n.  and  junction n.

First numbers that belong to both sets:

101, 911, 2311, 5611, 7411, 10811, 17111, 19531, 22111, 27011, 30031, 30811, 51511, 70211, 75031, 107311, 132031, 150511, 203011, 282031, 321311, 334111, 385031, 399031, 410411, 442531, 457531, 520031, 533011, 569531, 600311, 639031, 657031, 712531, 790031, 810031, 871531, 957031, 979031, 1069531, 1121011, 1164031, 1339031, 1423111, 1582031, 1667531, 1696531, 1785031, 1906531, 1937531, 2064031, 2161531, 2194531, 2295031, 2322211, 2329031, 2574031, 2610031, 2756531, 2869031, 2907031, 3030311, 3061531, 3180031, 3220031, 3382531, 3549031, 3676531, 3719531, 3850031, 4255031, 4394531, 4584031, 4826531, 4975031, 5015011, 5025031, 5227531, 5382031, 5434031, 5591531, 5805031, 5859031, 5989651, 6022531, 6077531, 6244031, 6300031, 6757031, 6932531, 7170031, 7230031, 7472531, 7657031, 7868851, 7906531, 8020111, 8160031, 8224031, 8417531, 8482531, 8587051, 9214031, 9282031, 9765031, 9835031, 10117531, 10621531, 10694531, 10915031, 10989031, 11514031, 11590031, 11819531, 12207031, 12760031, 12840031, 13489031, 13736531, 13819531, 14070031, 14407531, 14492531, 14749031, 14835031, 15181531, 15444031, 15532031, 15940051, 16155031, 16245031, 16607531, 16882031, 16974031, 17251531, 17625031, 17719031, 18480031, 19159031, 19552531, 19651531, 20030011, 20050031, 20757031, 21166531, 21269531, 21580031, 21684031, 22419031, 22525031, 22610011, 22844531, 23274031, 23382031, 23816531, 24145031, 24255031, 25032031, 25144031, 25481531, 26049031, 26392531, 26507531, 26668951, 26854031, 27319531, 27436531, 27907031, 27977951, 28262531, 28381531, 28740031, 29221531, 29342531, 29707031, 30221111, 30319531, 30690031, 30814031, 30988051, 31187531, 31312531, 31689031, 31815031, 32704031, 32832031, 33217531, 33735031, 33865031, 34256531, 34914031, 35444531, 35845031, 36382531, 36517531, 36598651, 37060031, 37606531, 37798751, 38019031, 38711531, 38795051, 39130031, 39270031, 40257031, 40399031, 40826531, 41400031, 41544031, 42559031, 42705031, 43144531, 43734031, 43882031, 44327531, 45075031, 45526531, 45889351, 46132031, 46649851, 46741531, 46986451, 47509031, 47755951, 47879651, 48127531, 48376051, 48968851, 50007031, 50641531, 51120031, 51280031, 51761531, 52407031, 52569031, 52958851, 53219531, 53710031, 53874031, 54797051, 55029031, 55195031, 56532031, 56767651, 57037531, 57206531, 57715031, 57987151, 58294051, 59254031, 59529751, 59667851, 60465031, 61162531, 61337531, 61864031, 62040031, 62994751, 63279031, 63457031, 64279051, 64710031, 64890031, 64998151, 65612531, 66157031, 66339031, 67620031, 67804031, 68839051, 68987551, 69545851, 70594031, 70894951, 71347531, 71536531, 71650051, 72295031, 72599551, 73057531.

Some larger examples :