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A056749 Smallest palindrome greater than n in bases 2 and n. 4

%I #6 Nov 16 2017 14:23:13

%S 3,6643,5,31,7,85,9,127,33,255,65,313,15,693,17,341,325,381,21,1241,

%T 771,645,325,951,27,5461,1317,1161,31,1241,33,1453,455,5709,3999,2925,

%U 195,4097,1025,7671,129,2409,45,4097,4095,3855,1421,5049,51,8673,3069

%N Smallest palindrome greater than n in bases 2 and n.

%H Michel Marcus, <a href="/A056749/b056749.txt">Table of n, a(n) for n = 2..1000</a>

%t Do[ k = n +1; While[ RealDigits[ k, n ][ [ 1 ] ] != Reverse[ RealDigits[ k, n ][ [ 1 ] ] ] || RealDigits[ k, 2 ][ [ 1 ] ] != Reverse[ RealDigits[ k, 2 ][ [ 1 ] ] ], k++ ]; Print[ k ], {n, 2, 60} ]

%o (PARI) isok2(j, n) = my(d=digits(j,n), b=binary(j)); (Vecrev(d)==d) && (Vecrev(b)==b);

%o a(n) = {my(j = n); while(! isok2(j, n), j++); j;} \\ _Michel Marcus_, Nov 16 2017

%Y Cf. A048268 (bases n and n+1).

%K nonn,base

%O 2,1

%A _Robert G. Wilson v_, Aug 15 2000

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)