A042983 Numbers n > 99 with following property: form a sequence whose initial terms are the t digits of n, later terms given by rule b(i+1) = b(i) + product of t-1 previous terms; then n itself appears in the sequence.

205, 302, 1220, 1757, 3505, 4484, 59445, 80005, 99543, 393544, 1545283, 31593249, 33252489, 184577126, 139316682243, 793957132718, 3827180840962

Offset: 1

Author

Denis Borris

Keywords

• nonn
• base
• more

Comments

a(18) > 10^13. - Giovanni Resta, Oct 19 2013

Examples

			1757 is a 4-digit term since sequence is 1, 7, 5, 7, 1*7*5+7 =42, 7*5*7+42 = 287, 5*7*42+287 = 1757.
		

Crossrefs

Cf. A007629.

Extensions

a(15)-a(17) from Giovanni Resta, Oct 19 2013