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Catalan numbers with digits sorted in increasing order and zeros suppressed.
0

%I #8 Feb 26 2015 17:18:32

%S 1,1,2,5,14,24,123,249,134,2468,16679,56788,1228,2479,244467,4456899,

%T 3355677,12446799,3467778,112366779,12244566,222446667,1234456689,

%U 1333455669,112234447899

%N Catalan numbers with digits sorted in increasing order and zeros suppressed.

%C This is to A000108 as A135374 is to A000225 and as A078726 is to A000215. Of the values through a(24), the only primes are the two prime Catalan numbers 2 and 5. What is the first prime in this sequence which is not an untransformed Catalan number?

%F A004185(A000108(n)) = A004185((2n)!/(n!(n+1)!)).

%t FromDigits[Sort[IntegerDigits[#]]]&/@CatalanNumber[Range[0,30]] (* _Harvey P. Dale_, Feb 26 2015 *)

%Y Cf. A000108, A004185, A078726, A135374.

%K base,easy,nonn,less

%O 0,3

%A _Jonathan Vos Post_, Dec 21 2007