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A133375 Catalan numbers with digits sorted in increasing order and zeros suppressed. 0
1, 1, 2, 5, 14, 24, 123, 249, 134, 2468, 16679, 56788, 1228, 2479, 244467, 4456899, 3355677, 12446799, 3467778, 112366779, 12244566, 222446667, 1234456689, 1333455669, 112234447899 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

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?

FORMULA

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

MATHEMATICA

Table[FromDigits[Sort[DeleteCases[IntegerDigits[CatalanNumber[n]], 0]]], {n, 0, 30}] (* From Harvey P. Dale, Nov 01 2011 *)

CROSSREFS

Cf. A000108, A004185, A078726, A135374.

Sequence in context: A131661 A076664 A049939 * A057295 A100779 A194124

Adjacent sequences:  A133372 A133373 A133374 * A133376 A133377 A133378

KEYWORD

base,easy,nonn,less

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 21 2007

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Last modified February 14 17:55 EST 2012. Contains 205653 sequences.