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 A235368 The smallest number with n representations of the form A*B^A with A, B > 1. 2
 8, 648, 344373768 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Call a number of the form A*B^A, A&B>1 an ABA number. Then a(n) is the smallest ABA number with n representations of this form. a(n) exists for every n. For example, a(4) <= k = 2^105*3^70*5^126*7^120, where k (a number of 255 digits) has 4 representations with A = 2, 3, 5, and 7. - Giovanni Resta, Jan 09 2014 LINKS R. Munafo, Generalized Cullen and Woodall Numbers Giovanni Resta, ABA numbers, Numbers Aplenty EXAMPLE a(3) = 344373768 = 8*9^8 = 3*486^3 = 2*13122^2. CROSSREFS Cf. A171606, A171607. Sequence in context: A258385 A267968 A253268 * A247731 A231849 A159621 Adjacent sequences:  A235365 A235366 A235367 * A235369 A235370 A235371 KEYWORD nonn,bref,more,hard AUTHOR Carlos Rivera, Jan 08 2014 STATUS approved

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Last modified May 20 06:18 EDT 2022. Contains 353852 sequences. (Running on oeis4.)