

A271220


Concatenate sum of digits of previous term and product of digits of previous term, starting with 6.


1



6, 66, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236, 1236
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OFFSET

1,1


COMMENTS

Each term is created by calculating the sum of the digits of the previous number, and the product of its digits. The results are concatenated to give the new number. Starting with 6, the second number is 66. The third number is generated as follows: 6+6=12, 6*6=36, which gives 1236. After that, the numbers remain unchanged, because 1+2+3+6=12 and 1x2x3x6=36, so combined 1236 again.


LINKS

Table of n, a(n) for n=1..51.


MATHEMATICA

NestList[FromDigits[Flatten@ {IntegerDigits@ Total@ #, IntegerDigits@ If[Length@ # == 1, #, Times @@ #]}] &@ IntegerDigits@ # &, 6, 50] (* Michael De Vlieger, Apr 02 2016 *)


CROSSREFS

Sequence in context: A229002 A122020 A262601 * A259123 A292026 A126459
Adjacent sequences: A271217 A271218 A271219 * A271221 A271222 A271223


KEYWORD

nonn,base


AUTHOR

Sander Claassen, Apr 02 2016


STATUS

approved



