A343925 Irregular triangle read by rows: n-th row gives the numbers > 1 that can be multiplied by n the maximum number of times, see A343924, such that each product has distinct digits.
2, 2, 2, 2, 2, 2, 5, 2, 3, 2, 13, 14, 15, 18, 35, 72, 77, 2, 2, 5, 2, 2, 2, 3, 6, 17, 3, 13, 2, 2, 7, 12, 2, 2, 5, 39, 3, 2, 7, 17, 78, 3, 2, 2, 4, 2, 5, 9, 12, 18, 93, 3, 17, 5, 3, 2, 4, 2, 5, 2, 2, 2, 9, 2, 3, 5, 6, 7, 11, 12, 15, 21, 24, 25, 34, 59, 74, 87, 107, 113, 118, 127, 158, 173, 207
Offset: 1
Examples
row(1) = 2 as 1 can be multiplied by 2 the maximum of 15 times producing products with distinct digits. The products are: 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16348, 32768. row(11) = 13, 14, 15, 18, 35, 72, 77 as these numbers can be multiplied by 11 the maximum of 3 times producing products with distinct digits. For example choosing 13 the products are 143, 1859, 24167. The table begins: . 2; 2; 2; 2; 2; 2; 5; 2; 3; 2; 13, 14, 15, 18, 35, 72, 77; 2; 2; 5; 2; 2; 2, 3, 6, 17; 3, 13; ...
Links
- Scott R. Shannon, Table for n = 1..1000.
Formula
row(n) has no terms for n > 4938271605 or for any number n ending in two or more 0's.
Comments