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Search: id:A110795
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| A110795 |
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Least multiple of n! that leaves a palindrome if trailing zeros are ignored. |
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+0
2
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| 1, 2, 6, 600, 600, 25200, 25200, 483840, 698867688960, 6988676889600, 293599799539200, 489718781798400, 48196817186918400
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(14) > 10^18. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Nov 15 2009]
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EXAMPLE
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a(8) = 483840= 8!*12, ignoring the leading zero gives 48384 which is a palindrome.
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MAPLE
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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 (mathar(AT)strw.leidenuniv.nl), Aug 17 2007
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CROSSREFS
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Cf. A110796.
Sequence in context: A135424 A132495 A112724 this_sequence A067107 A047690 A113569
Adjacent sequences: A110792 A110793 A110794 this_sequence A110796 A110797 A110798
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KEYWORD
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base,more,nonn,new
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 13 2005
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EXTENSIONS
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Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 17 2007
a(11)-a(13) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Nov 15 2009
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