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Concatenation of first n Bell numbers (starting with A000110(1)).
0

%I #14 Dec 30 2022 02:26:52

%S 1,12,125,12515,1251552,1251552203,1251552203877,12515522038774140,

%T 1251552203877414021147,1251552203877414021147115975,

%U 1251552203877414021147115975678570

%N Concatenation of first n Bell numbers (starting with A000110(1)).

%C A000110(0) is omitted here in contrast to A132938. - _Georg Fischer_, Dec 29 2022

%D Amarnath Murthy, Generalization of Partition function, introducing Smarandache Factor partition, Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000.

%D Amarnath Murthy, A general result on the Smarandache Star function, Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000.

%D Amarnath Murthy, Properties of Smarandache Star Triangle, Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000.

%e a(5) = 1251552, since 1, 2, 5, 15, 52 are the first five bell numbers.

%p with(combinat, bell): for n from 1 to 20 do for k from 1 to n do printf(`%d`, bell(k)) od: printf(`,`): od:

%t Module[{nn=20,bn},bn=BellB[Range[nn]];Table[FromDigits[ Flatten[ IntegerDigits/@ Take[bn,n]]],{n,nn}]] (* _Harvey P. Dale_, Aug 02 2016 *)

%Y Cf. A000110, A132938.

%K nonn,base,less

%O 1,2

%A _Amarnath Murthy_, Apr 21 2001

%E More terms from _James A. Sellers_, Apr 23 2001

%E Definition amended by _Georg Fischer_, Dec 29 2022

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Last modified September 21 15:17 EDT 2024. Contains 376087 sequences. (Running on oeis4.)