A385293 -id:A385293 - cp's OEIS frontend

A385292 Numbers whose digits all belong to the same residue class mod 3.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 14, 17, 22, 25, 28, 30, 33, 36, 39, 41, 44, 47, 52, 55, 58, 60, 63, 66, 69, 71, 74, 77, 82, 85, 88, 90, 93, 96, 99, 111, 114, 117, 141, 144, 147, 171, 174, 177, 222, 225, 228, 252, 255, 258, 282, 285, 288, 300, 303, 306, 309, 330, 333, 336, 339, 360, 363, 366

Offset: 1

Stefano Spezia, Jun 24 2025

Stefano Spezia, Table of n, a(n) for n = 1..10000

Similar sequences for other values of the modulo k: A059708 (k=2), this sequence (k=3), A385293 (k=4), A385294 (k=5), A385295 (k=6), A385296 (k=7), A385297 (k=8), A385298 (k=9).

Select[Range[0,366],Length[DeleteDuplicates[Mod[IntegerDigits[#],3]]] == 1 &]

A385294 Numbers whose digits all belong to the same residue class mod 5.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 16, 22, 27, 33, 38, 44, 49, 50, 55, 61, 66, 72, 77, 83, 88, 94, 99, 111, 116, 161, 166, 222, 227, 272, 277, 333, 338, 383, 388, 444, 449, 494, 499, 500, 505, 550, 555, 611, 616, 661, 666, 722, 727, 772, 777, 833, 838, 883, 888, 944, 949, 994, 999, 1111, 1116

Offset: 1

Stefano Spezia, Jun 24 2025

Alois P. Heinz, Table of n, a(n) for n = 1..18424 (first 1000 terms from Stefano Spezia)

Similar sequences for other values of the modulo k: A059708 (k=2), A385292 (k=3), A385293 (k=4), this sequence (k=5), A385295 (k=6), A385296 (k=7), A385297 (k=8), A385298 (k=9).

Select[Range[0,1200],Length[DeleteDuplicates[Mod[IntegerDigits[#],5]]] == 1 &]

A385295 Numbers whose digits all belong to the same residue class mod 6.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 17, 22, 28, 33, 39, 44, 55, 60, 66, 71, 77, 82, 88, 93, 99, 111, 117, 171, 177, 222, 228, 282, 288, 333, 339, 393, 399, 444, 555, 600, 606, 660, 666, 711, 717, 771, 777, 822, 828, 882, 888, 933, 939, 993, 999, 1111, 1117, 1171, 1177, 1711, 1717, 1771, 1777, 2222

Offset: 1

Stefano Spezia, Jun 24 2025

Alois P. Heinz, Table of n, a(n) for n = 1..14352 (first 1000 termss from Stefano Spezia)

Similar sequences for other values of the modulo k: A059708 (k=2), A385292 (k=3), A385293 (k=4), A385294 (k=5), this sequence (k=6), A385296 (k=7), A385297 (k=8), A385298 (k=9).

Select[Range[0,2300],Length[DeleteDuplicates[Mod[IntegerDigits[#],6]]] == 1 &]

A385296 Numbers whose digits all belong to the same residue class mod 7.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 18, 22, 29, 33, 44, 55, 66, 70, 77, 81, 88, 92, 99, 111, 118, 181, 188, 222, 229, 292, 299, 333, 444, 555, 666, 700, 707, 770, 777, 811, 818, 881, 888, 922, 929, 992, 999, 1111, 1118, 1181, 1188, 1811, 1818, 1881, 1888, 2222, 2229, 2292, 2299, 2922, 2929, 2992, 2999

Offset: 1

Stefano Spezia, Jun 24 2025

Alois P. Heinz, Table of n, a(n) for n = 1..10280 (first 1000 terms from Stefano Spezia)

Similar sequences for other values of the modulo k: A059708 (k=2), A385292 (k=3), A385293 (k=4), A385294 (k=5), A385295 (k=6), this sequence (k=7), A385297 (k=8), A385298 (k=9).

Select[Range[0,3000],Length[DeleteDuplicates[Mod[IntegerDigits[#],7]]] == 1 &]

A385297 Numbers whose digits all belong to the same residue class mod 8.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 19, 22, 33, 44, 55, 66, 77, 80, 88, 91, 99, 111, 119, 191, 199, 222, 333, 444, 555, 666, 777, 800, 808, 880, 888, 911, 919, 991, 999, 1111, 1119, 1191, 1199, 1911, 1919, 1991, 1999, 2222, 3333, 4444, 5555, 6666, 7777, 8000, 8008, 8080, 8088, 8800, 8808, 8880, 8888

Offset: 1

Stefano Spezia, Jun 24 2025

Alois P. Heinz, Table of n, a(n) for n = 1..12358 (first 1000 terms from Stefano Spezia)

Similar sequences for other values of the modulo k: A059708 (k=2), A385292 (k=3), A385293 (k=4), A385294 (k=5), A385295 (k=6), A385296 (k=7), this sequence (k=8), A385298 (k=9).

Select[Range[0,9000],Length[DeleteDuplicates[Mod[IntegerDigits[#],8]]] == 1 &]

A385298 Numbers whose digits all belong to the same residue class mod 9.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 90, 99, 111, 222, 333, 444, 555, 666, 777, 888, 900, 909, 990, 999, 1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9000, 9009, 9090, 9099, 9900, 9909, 9990, 9999, 11111, 22222, 33333, 44444, 55555, 66666, 77777, 88888, 90000, 90009

Offset: 1

Stefano Spezia, Jun 24 2025

Alois P. Heinz, Table of n, a(n) for n = 1..16496 (first 200 terms from Stefano Spezia)

Similar sequences for other values of the modulo k: A059708 (k=2), A385292 (k=3), A385293 (k=4), A385294 (k=5), A385295 (k=6), A385296 (k=7), A385297 (k=8), this sequence (k=9).

Select[Range[0,90000],Length[DeleteDuplicates[Mod[IntegerDigits[#],9]]] == 1 &]

cp's OEIS Frontend

A385292 Numbers whose digits all belong to the same residue class mod 3.

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A385294 Numbers whose digits all belong to the same residue class mod 5.

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A385295 Numbers whose digits all belong to the same residue class mod 6.

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A385296 Numbers whose digits all belong to the same residue class mod 7.

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Mathematica

A385297 Numbers whose digits all belong to the same residue class mod 8.

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Mathematica

A385298 Numbers whose digits all belong to the same residue class mod 9.

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Mathematica