A061114 Concatenation of first n Bell numbers (starting with A000110(1)).

1, 12, 125, 12515, 1251552, 1251552203, 1251552203877, 12515522038774140, 1251552203877414021147, 1251552203877414021147115975, 1251552203877414021147115975678570

Offset: 1

Author

Amarnath Murthy, Apr 21 2001

Keywords

• nonn
• base
• less

Comments

A000110(0) is omitted here in contrast to A132938. - Georg Fischer, Dec 29 2022

Examples

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

References

• Amarnath Murthy, Generalization of Partition function, introducing Smarandache Factor partition, Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000.
• Amarnath Murthy, A general result on the Smarandache Star function, Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000.
• Amarnath Murthy, Properties of Smarandache Star Triangle, Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000.

Crossrefs

Cf. A000110, A132938.

Programs

Maple

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

Mathematica

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

Extensions

More terms from James Sellers, Apr 23 2001

Definition amended by Georg Fischer, Dec 29 2022