A134714 Concatenation of next n Catalan numbers.

1, 12, 51442, 13242914304862, 16796587862080127429002674440, 96948453535767012964479047763870017672631906564120420, 2446626702091482563640343059613650128990414732448619464014521836735307215269533550916004

Offset: 1

Author

Omar E. Pol, Nov 12 2007

Keywords

• easy
• nonn
• base

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..15

Crossrefs

Cf. A053067, A053068, A133013. Catalan numbers: A000108.

Programs

Mathematica

Module[{nn=50,cn},cn=CatalanNumber[Range[0,nn]];Table[ FromDigits[ Flatten[ IntegerDigits/@ Take[cn,{(n(n+1))/2+1,((n+1)(n+2))/2}]]],{n,0,Floor[ (Sqrt[ 8*nn+1]-1)/2]-1}]] (* Harvey P. Dale, May 15 2014 *)
Module[{nn=8},FromDigits[Flatten[IntegerDigits/@#]]&/@Rest[TakeList[CatalanNumber[Range[0,(nn(nn+1))/2-1]],Range[0,nn-1]]]] (* Harvey P. Dale, Oct 06 2024 *)

Extensions

Edited by Charles R Greathouse IV, Apr 25 2010