#A126783: Smallest k > 1 such that (sum of digits of k^n)*(sum of digits of k^(n+1)) = k, or 0 if no such k exists. #Table of n, a(n) for n = 1..54 1 80 2 80 3 70 4 3905 5 4004 6 700 7 19278 8 32761 9 5600 10 8100 11 24940 12 10600 13 56330 14 68040 15 81760 16 149705 17 116180 18 126360 19 123580 20 0 21 65500 22 311003 23 205030 24 114400 25 454951 26 317350 27 312170 28 296270 29 359380 30 332750 31 699785 32 723338 33 498150 34 499130 35 901368 36 543890 37 892944 38 819910 39 695090 40 754110 41 1285875 42 843160 43 518300 44 1031480 45 636800 46 986580 47 1658215 48 1136320 49 670400 50 1868508 51 1321670 52 1646380 53 947700 54 319000 #END