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%I #28 Jun 13 2021 03:24:19
%S 1,2,4,6,14641,44,0,66,484,272,0,414,0,2912192,44944,616,0,252,0,2992,
%T 0,2532352,0,4004,10004000600040001,2977792,1002001,2112,0,63536,0,
%U 4224,0,44356665344,0,2772,0,6564989894656,0,42224,0,6336,0,4015104,698896
%N Smallest palindromic number with exactly n divisors, or 0 if no such number exists.
%C a(7)=a(11)=a(13)=a(17)=a(19)=a(23)=a(29)=a(31)=a(37)=a(41)=0 under the plausible conjecture that there are no palindromes > 1 which are fifth or higher powers. _David Wasserman_ in A090315 reports that he has checked this (or rather the part needed for this sequence) up to 10^48. - _David Consiglio, Jr._ and _Charles R Greathouse IV_, Mar 27 2012
%C a(21), a(33), a(35), and a(39) have also not been proved to be zero, but if positive they must be at least 10^31. - _Charles R Greathouse IV_, Mar 27 2012
%Y Cf. A002113, A076888.
%K base,nonn
%O 1,2
%A _Amarnath Murthy_ and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 06 2003
%E a(11)-a(42) from _David Consiglio, Jr._ and _Charles R Greathouse IV_, Mar 27 2012
%E a(43)-a(45) added (with a(43)=0 under the same conjecture as for a(7)=a(11)=...=a(41)=0) by _Jon E. Schoenfield_, Oct 17 2014