A289544 Pandigital numbers (each digit 0-9 used exactly once) where the first 3 digits plus the next 3 digits equals the last 4 digits.

2467891035, 2497861035, 2647891053, 2697841053, 2847691053, 2867491035, 2897461035, 2897641053, 3247651089, 3257641089, 3427561098, 3467521098, 3478591206, 3498571206, 3527461098, 3567421098, 3578491206, 3598471206, 3647251089, 3657241089, 4236751098, 4256731098

Offset: 1

Author

Jonathan Schwartz, Aug 02 2017

Keywords

• nonn
• base
• fini
• full

Comments

Leading zeros in the last four digits are not included, else 1246590783, with 124 + 659 = 783 would be the first term.

Examples

			2467891035 is in the sequence as 246|789|1035: 246 + 789 = 1035 and each digit (0-9) is used exactly once.
		

Links

• Jonathan Schwartz, Table of n, a(n) for n = 1..96
• David A. Corneth, PARI program

Crossrefs

Cf. A050278, A289552, A286846.

Programs

Mathematica

FromDigits /@ Select[Permutations[Range[0, 9]], And[#1 + #2 == #3, #3 >= 1000] & @@ Map[FromDigits, {Take[#, 3], #[[4 ;; 6]], Take[#, -4]}] &] (* Michael De Vlieger, Aug 02 2018 *)

Python

from itertools import permutations
def t2i(t): return int("".join(map(str, t)))
alst = [t2i(p) for p in permutations(range(10)) if p[6] != 0 and t2i(p[:3]) + t2i(p[3:6]) == t2i(p[6:])]
print(alst) # Michael S. Branicky, May 30 2022