The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A271220 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A271220

Concatenate sum of digits of previous term and product of digits of previous term, starting with 6.
(history; published version)

#17 by N. J. A. Sloane at Sat Apr 02 21:53:12 EDT 2016

STATUS

editing

approved

#16 by N. J. A. Sloane at Sat Apr 02 21:53:02 EDT 2016

NAME

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

COMMENTS

Each following number term is created by first calculating the sum of all the digits of the previous number, and then the product of all its digits. Both The results are combined as concatenated to give the new number. Starting with 6, the second number becomes is 66. The third number is generated as follows: 6+6=12, 6x66*6=36, so combined which gives 1236. After that, the numbers remain unchanged, because 1+2+3+6=12 and 1x2x3x6=36, so combined 1236 again.

STATUS

proposed

editing

Discussion

Sat Apr 02

21:53

N. J. A. Sloane: edited

#15 by Michel Marcus at Sat Apr 02 16:56:52 EDT 2016

STATUS

editing

proposed

#14 by Michel Marcus at Sat Apr 02 16:56:38 EDT 2016

NAME

sum Sum of digits, product of digits, starting with number 6.

KEYWORD

nonn,base,changed

STATUS

proposed

editing

#13 by Michael De Vlieger at Sat Apr 02 16:52:07 EDT 2016

STATUS

editing

proposed

#12 by Michael De Vlieger at Sat Apr 02 16:51:43 EDT 2016

DATA

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

MATHEMATICA

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

STATUS

proposed

editing

#11 by Sander Claassen at Sat Apr 02 11:10:17 EDT 2016

STATUS

editing

proposed

Discussion

Sat Apr 02

11:59

Michel Marcus: Name should begin with an Upper case, and finish with a period/full stop. And since digits are utilized keyword base should be added : see https://oeis.org/eishelp2.html#RK

12:09

Michel Marcus: I think this sequence neds a companion sequence to introduce it.

16:09

Wesley Ivan Hurt: Name suggestion: a(1)=6, a(2)=66, a(n)=1236 for n>2.

#10 by Sander Claassen at Sat Apr 02 11:09:17 EDT 2016

NAME

allocated for Sander Claassensum of digits, product of digits, starting with number 6

DATA

6, 66, 1236, 1236, 1236, 1236

OFFSET

1,1

COMMENTS

Each following number is created by first calculating the sum of all digits of the previous number, and then the product of all its digits. Both results are combined as the new number. Starting with 6, the second number becomes 66. The third number is generated as follows: 6+6=12, 6x6=36, so combined 1236. After that, the numbers remain unchanged, because 1+2+3+6=12 and 1x2x3x6=36, so combined 1236 again.

KEYWORD

allocated

nonn

AUTHOR

Sander Claassen, Apr 02 2016

STATUS

approved

editing

#9 by Sander Claassen at Sat Apr 02 11:09:17 EDT 2016

NAME

allocated for Sander Claassen

KEYWORD

recycled

allocated

#8 by N. J. A. Sloane at Sat Apr 02 09:28:22 EDT 2016

STATUS

editing

approved