A289544 -id:A289544 - cp's OEIS frontend

A286846 Zeroless pandigital (9-digit) numbers where the first three digits minus the middle three digits equals the last three digits.

459173286, 459176283, 459183276, 459186273, 459273186, 459276183, 459283176, 459286173, 468173295, 468175293, 468193275, 468195273, 468273195, 468275193, 468293175, 468295173, 486127359, 486129357, 486157329, 486159327, 486327159, 486329157, 486357129

Offset: 1

Jonathan Schwartz, Aug 01 2017

			459173286: 459 - 173 = 286.

Jonathan Schwartz, Table of n, a(n) for n = 1..336
David A. Corneth, PARI program

Cf. A050289, A286845, A289544, A289552.

A subsequence of A290725.

import java.util.*; public class GenerateSequence {public static void main(String[] args) { Set seq = new TreeSet(); for (long i = 123456789l; i < 987654321; i++) {Set set = new HashSet(); String number = Long.toString(i);if (!(number.contains("0"))) {for (int n = 0; n < 9; n++){set.add(number.charAt(n));} if (set.size() == 9) {if (Integer.valueOf(number.substring(0, 3)) - Integer.valueOf(number.substring(3, 6)) == Integer.valueOf(number.substring(6, 9))) { seq.add(i);} } } System.out.println(seq); } }

FromDigits/@Select[Permutations[Range[9]],FromDigits[Take[#,3]]-FromDigits[ Take[ #,{4,6}]]==FromDigits[Take[#,-3]]&] (* Harvey P. Dale, Aug 08 2020 *)

from itertools import permutations
def t2i(t): return int("".join(map(str, t)))
alst = [t2i(p) for p in permutations(range(1, 10)) if t2i(p[:3]) - t2i(p[3:6]) == t2i(p[6:])]
print(alst) # Michael S. Branicky, May 30 2022

A289552 Zeroless pandigital numbers (each digit 1-9 used exactly once) where the first 3 digits plus the next 3 digits equals the last 3 digits.

Original entry on oeis.org

124659783, 125739864, 127359486, 127368495, 128367495, 128439567, 129357486, 129438567, 129654783, 129735864, 134658792, 135729864, 138429567, 138654792, 139428567, 139725864, 142596738, 142695837, 143586729, 145692837, 146583729, 146592738, 152487639, 152784936

Offset: 1

Jonathan Schwartz, Aug 02 2017

			124659783: 124 + 659 = 783.

Jonathan Schwartz, Table of n, a(n) for n = 1..336
David A. Corneth, PARI program
Eric Weisstein, World of Mathematics, Pandigital Number.

Cf. A050289, A286846, A289544.

import java.util.*;public class Sequence{public static void main(String[] args) {
for (long i = 123456789l; i < 987654321l; i++)
{Set set = new HashSet();String number = Long.toString(i);
if (!(number.contains("0"))) {
for (int n = 0; n < 9; n++) {set.add(number.charAt(n));}
if (set.size() == 9){
if(Integer.valueOf(number.substring(0,3))+Integer.valueOf(number.substring(3,6))==Integer.valueOf(number.substring(6,9)))
{System.out.print(i + ", ");}}}}}}

FromDigits/@Select[Permutations[Range[9]],FromDigits[Take[#,3]]+FromDigits[ Take[ #,{4,6}]] == FromDigits[Take[#,-3]]&] (* Harvey P. Dale, Oct 18 2022 *)

from itertools import permutations
def t2i(t): return int("".join(map(str, t)))
alst = [t2i(p) for p in permutations(range(1, 10)) if t2i(p[:3]) + t2i(p[3:6]) == t2i(p[6:])]
print(alst) # Michael S. Branicky, May 30 2022

cp's OEIS Frontend

A286846 Zeroless pandigital (9-digit) numbers where the first three digits minus the middle three digits equals the last three digits.

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