|
Search: id:A085446
|
|
|
| A085446 |
|
Numbers evenly divisible by twice the sum of the products of each of their digits, excluding even multiples of 10. |
|
+0
2
|
|
| 162, 324, 392, 512, 648, 1134, 1296, 1944, 2106, 2592, 2704, 3402, 4212, 4536, 5022, 5184, 5632, 5832, 7128, 7514, 7744, 8424, 8748, 9072, 10044, 10206, 10368, 10406, 11016, 11502, 11664, 12032, 12312, 12716, 13122, 13608, 14256, 14504, 14904
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
Take a number n, create a table with d columns and rows where d=number of digits of n. Each column corresponds to a digit of n and each row to a digit of n. In each cell, multiply the two digits of n represented by that row and column. Add up the sums of all of the rows and all of the columns to get a new number m which divides evenly into n.
|
|
EXAMPLE
|
512 / 2*((5*5)+(5*1)+(5*2)+(1*5)+(1*1)+(1*2)+(2*5)+(2*1)+(2*2)) = 4
|
|
CROSSREFS
|
Cf. A085444.
Sequence in context: A066476 A107120 A045010 this_sequence A044985 A128803 A035746
Adjacent sequences: A085443 A085444 A085445 this_sequence A085447 A085448 A085449
|
|
KEYWORD
|
base,nonn
|
|
AUTHOR
|
Chuck Seggelin (barkeep(AT)plastereddragon.com), Jun 30 2003
|
|
|
Search completed in 0.002 seconds
|
