Esthetic numbers: Difference between revisions

</pre>

=={{header|Forth}}==

{{works with|Gforth}}

<lang forth>\ Returns the next esthetic number in the given base after n, where n is an

\ esthetic number in that base or one less than a power of base.

: next_esthetic_number { n base -- n }

n 1+ base < if n 1+ exit then

n base / dup base mod

dup n base mod 1+ = if dup 1+ base < if 2drop n 2 + exit then then

drop base recurse

dup base mod

dup 0= if 1+ else 1- then

swap base * + ;

: main

17 2 do

i 4 * i 6 * { min max }

." Esthetic numbers in base " i 1 .r ." from index " min 1 .r ." through index " max 1 .r ." :" cr

0

max 1+ 1 do

j next_esthetic_number

i min >= if dup ['] . j base-execute then

loop

drop

cr cr

loop

1000 to min 9999 to max

." Esthetic numbers in base 10 between " min 1 .r ." and " max 1 .r ." :" cr

0

min 1- 10 next_esthetic_number

begin

dup max <=

while

dup 4 .r

swap 1+ dup 16 mod 0= if cr else space then swap

10 next_esthetic_number

repeat

drop

cr ." count: " . cr cr

100000000 to min 130000000 to max

." Esthetic numbers in base 10 between " min 1 .r ." and " max 1 .r ." :" cr

0

min 1- 10 next_esthetic_number

begin

dup max <=

while

dup 7 .r

swap 1+ dup 8 mod 0= if cr else space then swap

10 next_esthetic_number

repeat

drop

cr ." count: " . cr ;

main

bye</lang>

{{out}}

<pre>

Esthetic numbers in base 2 from index 8 through index 12:

10101010 101010101 1010101010 10101010101 101010101010

Esthetic numbers in base 3 from index 12 through index 18:

1210 1212 2101 2121 10101 10121 12101

Esthetic numbers in base 4 from index 16 through index 24:

323 1010 1012 1210 1212 1232 2101 2121 2123

Esthetic numbers in base 5 from index 20 through index 30:

323 343 432 434 1010 1012 1210 1212 1232 1234 2101

Esthetic numbers in base 6 from index 24 through index 36:

343 345 432 434 454 543 545 1010 1012 1210 1212 1232 1234

Esthetic numbers in base 7 from index 28 through index 42:

345 432 434 454 456 543 545 565 654 656 1010 1012 1210 1212 1232

Esthetic numbers in base 8 from index 32 through index 48:

432 434 454 456 543 545 565 567 654 656 676 765 767 1010 1012 1210 1212

Esthetic numbers in base 9 from index 36 through index 54:

434 454 456 543 545 565 567 654 656 676 678 765 767 787 876 878 1010 1012 1210

Esthetic numbers in base 10 from index 40 through index 60:

454 456 543 545 565 567 654 656 676 678 765 767 787 789 876 878 898 987 989 1010 1012

Esthetic numbers in base 11 from index 44 through index 66:

456 543 545 565 567 654 656 676 678 765 767 787 789 876 878 898 89A 987 989 9A9 A98 A9A 1010

Esthetic numbers in base 12 from index 48 through index 72:

543 545 565 567 654 656 676 678 765 767 787 789 876 878 898 89A 987 989 9A9 9AB A98 A9A ABA BA9 BAB

Esthetic numbers in base 13 from index 52 through index 78:

545 565 567 654 656 676 678 765 767 787 789 876 878 898 89A 987 989 9A9 9AB A98 A9A ABA ABC BA9 BAB BCB CBA

Esthetic numbers in base 14 from index 56 through index 84:

565 567 654 656 676 678 765 767 787 789 876 878 898 89A 987 989 9A9 9AB A98 A9A ABA ABC BA9 BAB BCB BCD CBA CBC CDC

Esthetic numbers in base 15 from index 60 through index 90:

567 654 656 676 678 765 767 787 789 876 878 898 89A 987 989 9A9 9AB A98 A9A ABA ABC BA9 BAB BCB BCD CBA CBC CDC CDE DCB DCD

Esthetic numbers in base 16 from index 64 through index 96:

654 656 676 678 765 767 787 789 876 878 898 89A 987 989 9A9 9AB A98 A9A ABA ABC BA9 BAB BCB BCD CBA CBC CDC CDE DCB DCD DED DEF EDC

Esthetic numbers in base 10 between 1000 and 9999:

1010 1012 1210 1212 1232 1234 2101 2121 2123 2321 2323 2343 2345 3210 3212 3232

3234 3432 3434 3454 3456 4321 4323 4343 4345 4543 4545 4565 4567 5432 5434 5454

5456 5654 5656 5676 5678 6543 6545 6565 6567 6765 6767 6787 6789 7654 7656 7676

7678 7876 7878 7898 8765 8767 8787 8789 8987 8989 9876 9878 9898

count: 61

Esthetic numbers in base 10 between 100000000 and 130000000:

101010101 101010121 101010123 101012101 101012121 101012123 101012321 101012323

101012343 101012345 101210101 101210121 101210123 101212101 101212121 101212123

101212321 101212323 101212343 101212345 101232101 101232121 101232123 101232321

101232323 101232343 101232345 101234321 101234323 101234343 101234345 101234543

101234545 101234565 101234567 121010101 121010121 121010123 121012101 121012121

121012123 121012321 121012323 121012343 121012345 121210101 121210121 121210123

121212101 121212121 121212123 121212321 121212323 121212343 121212345 121232101

121232121 121232123 121232321 121232323 121232343 121232345 121234321 121234323

121234343 121234345 121234543 121234545 121234565 121234567 123210101 123210121

123210123 123212101 123212121 123212123 123212321 123212323 123212343 123212345

123232101 123232121 123232123 123232321 123232323 123232343 123232345 123234321

123234323 123234343 123234345 123234543 123234545 123234565 123234567 123432101

123432121 123432123 123432321 123432323 123432343 123432345 123434321 123434323

123434343 123434345 123434543 123434545 123434565 123434567 123454321 123454323

123454343 123454345 123454543 123454545 123454565 123454567 123456543 123456545

123456565 123456567 123456765 123456767 123456787 123456789

count: 126