

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 t1 previous terms; then n itself appears in the sequence.


2



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

1,1


COMMENTS

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


LINKS

Table of n, a(n) for n=1..17.


EXAMPLE

1757 is a 4digit 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.
Sequence in context: A249052 A116177 A191834 * A186475 A020170 A260471
Adjacent sequences: A042980 A042981 A042982 * A042984 A042985 A042986


KEYWORD

nonn,base,more


AUTHOR

Denis Borris


EXTENSIONS

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


STATUS

approved



