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%I #15 Feb 07 2024 01:27:18
%S 1,2,6,600,600,25200,25200,483840,698867688960,6988676889600,
%T 293599799539200,489718781798400,48196817186918400,
%U 4091568555865190400,84446094349064448000,2308054967694508032000,4070651384548315607040000,46671804001710040817664000,46671804001710040817664000
%N Least multiple of n! that leaves a palindrome if trailing zeros are ignored.
%e a(8) = 483840 = 8!*12, ignoring the trailing zero gives 48384 which is a palindrome.
%p A004151 := proc(n) local a ; a := n ; while a mod 10 = 0 do a := a/10 ; end: RETURN(a); end: isA002113 := proc(n) local digs,i ; digs := convert(n,base,10) ; for i from 1 to nops(digs)/2 do if op(i,digs) <> op(-i,digs) then RETURN(false) ; fi ; od; RETURN(true) ; end: A110795 := proc(n) local nf,k ; nf := n! ; k := 1 ; while not isA002113(A004151(k*nf)) do k := k+1 ; od: RETURN(k*nf) ; end: seq(A110795(n),n=1..9) ; # _R. J. Mathar_, Aug 17 2007
%Y Cf. A110796.
%K base,nonn
%O 1,2
%A _Amarnath Murthy_, Aug 13 2005
%E Corrected and extended by _R. J. Mathar_, Aug 17 2007
%E a(11)-a(13) from _Donovan Johnson_, Nov 15 2009
%E a(14)-a(16) from _Donovan Johnson_, Feb 01 2011
%E Terms a(17) onward from _Max Alekseyev_, Feb 06 2024
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