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A085804
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Least k such that n^n + k is a palindrome.
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0
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0, 0, 6, 6, 98, 8, 885, 545, 4294, 1, 542971, 567942, 4985950, 34463095, 817539359, 3335212865, 1825278551, 60542888969, 351980024812, 6758401, 13316726728064, 355067132000559, 10940544943498235, 100371505302529555, 98630474467606263
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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MATHEMATICA
| NextPalindrome[n_] := Block[{l = Floor[Log[10, n] + 1], idn = IntegerDigits[n]}, If[ Union[ idn] == {9}, Return[n + 2], If[l < 2, Return[n + 1], If[ FromDigits[ Reverse[ Take[idn, Ceiling[l/2]]]] FromDigits[ Take[idn, -Ceiling[l/2]]], FromDigits[ Join[ Take[idn, Ceiling[l/2]], Reverse[ Take[idn, Floor[l/2]]]]], idfhn = FromDigits[ Take[idn, Ceiling[l/2]]] + 1; idp = FromDigits[ Join[ IntegerDigits[ idfhn], Drop[ Reverse[ IntegerDigits[ idfhn]], Mod[l, 2]]]]]]]]; f[n_] := Block[{}, If[ FromDigits[ Reverse[ IntegerDigits[n^n]]] == n^n, 0, NextPalindrome[n^n] - n^n]];
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CROSSREFS
| Sequence in context: A078290 A065239 A146892 * A012125 A170915 A123190
Adjacent sequences: A085801 A085802 A085803 * A085805 A085806 A085807
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KEYWORD
| base,nonn
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AUTHOR
| Jason Earls (zevi_35711(AT)yahoo.com), Jul 24 2003
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EXTENSIONS
| Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 26 2003
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