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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. 3
2467891035, 2497861035, 2647891053, 2697841053, 2847691053, 2867491035, 2897461035, 2897641053, 3247651089, 3257641089, 3427561098, 3467521098, 3478591206, 3498571206, 3527461098, 3567421098, 3578491206, 3598471206, 3647251089, 3657241089, 4236751098, 4256731098 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Jonathan Schwartz, Table of n, a(n) for n = 1..96

Geoffrey Critzer, Combinatorics of Vector Spaces over Finite Fields, Master's thesis, Emporia State University, 2018.

EXAMPLE

2467891035: 246 + 789 = 1035

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 *)

PROG

(Java)import java.util.*; public class Sequence{public static void main(String[] args) {

for (long i = 1023456789l; i < 9876543210l; i++)

{Set<Character> set = new HashSet<Character>(); String number = Long.toString(i);

if (number.charAt(3) != '0' && number.charAt(6) != '0') {

for (int n = 0; n < 10; n++) {set.add(number.charAt(n)); }

if (set.size() == 10){

if(Integer.valueOf(number.substring(0, 3))+Integer.valueOf(number.substring(3, 6))==Integer.valueOf(number.substring(6, 10)))

{System.out.print(i + ", "); }}}}}}

CROSSREFS

Cf. A050278, A289552, A286846.

Sequence in context: A017661 A307748 A131013 * A258611 A120290 A308377

Adjacent sequences:  A289541 A289542 A289543 * A289545 A289546 A289547

KEYWORD

nonn,base,fini,full

AUTHOR

Jonathan Schwartz, Aug 02 2017

STATUS

approved

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Last modified February 20 20:08 EST 2020. Contains 332084 sequences. (Running on oeis4.)