A255398 -id:A255398 - cp's OEIS frontend

A255430 Natural numbers n, not multiples of 10, such that n and n^2 lack the digit 1 in their decimal expansions.

2, 3, 5, 6, 7, 8, 22, 23, 24, 25, 26, 27, 28, 45, 47, 48, 52, 53, 55, 57, 58, 62, 63, 64, 65, 66, 67, 68, 73, 74, 75, 76, 77, 78, 82, 83, 84, 85, 86, 87, 88, 92, 93, 94, 95, 97, 98, 202, 205, 206, 207, 208, 222, 223, 225, 232, 233, 234, 235, 236, 238, 242, 243, 244, 245, 252, 253, 255

Offset: 1

Zak Seidov, Feb 23 2015

No trailing zeros allowed.

Cf. A000027, A052383, A067251, A255398.

A255357 Natural numbers n, other than multiples of 10, such that n, n^2 and n^3 lack the digit 1 in their decimal expansion.

Original entry on oeis.org

2, 3, 7, 62, 63, 65, 66, 67, 74, 76, 77, 78, 84, 86, 87, 92, 93, 94, 95, 202, 207, 274, 275, 282, 284, 287, 288, 292, 295, 298, 305, 307, 452, 453, 457, 587, 588, 592, 594, 607, 624, 632, 635, 636, 637, 638, 653, 664, 665, 666, 667, 668, 675, 686, 688, 695, 697, 698, 702, 703, 705, 707

Offset: 1

Zak Seidov, Feb 23 2015

			Numbers {2, 3, 7, 62, 63}, their squares {4, 9, 49, 3844, 3969} and cubes {8, 27, 343, 238328, 250047} all are "one-less".

Robert Israel, Table of n, a(n) for n = 1..10000

Cf. A000027, A052383, A067251, A255398, A255430, A255431.

filter:= proc(n) local L,i;
  for i from 1 to 3 do
    L:= convert(n^i,base,10);
    if member(1,L) then return false fi;
  od;
  true
end proc:
select(filter, [seq(seq(10*i+j, j=2..8),i=0..100)]); # Robert Israel, Apr 03 2024

Select[Range[800],NumberDigit[#,0]!=0&&FreeQ[Flatten[ IntegerDigits/@ {#,#^2,#^3}],1]&] (* Harvey P. Dale, Sep 24 2021 *)

Definition modified by Harvey P. Dale, Sep 24 2021

A255431 Numbers n such that integers n through n+6 and their squares all lack the digit 1 in their decimal expansion.

Original entry on oeis.org

22, 62, 82, 472, 522, 662, 822, 832, 932, 972, 2362, 2382, 2522, 2562, 2632, 2972, 4522, 4832, 4862, 4882, 4932, 4972, 5022, 5062, 5082, 5322, 5472, 6062, 6382, 6632, 6662, 6782, 6972, 7022, 7382, 7432, 7472, 7632, 8322, 8332, 8362, 8672, 8882

Offset: 1

Zak Seidov, Feb 23 2015

Integers n through n+6 are terms in A255430.

All terms are congruent to 2 mod 10.

			22,23,24,25,26,27,28 and their squares 484,529,576,625,676,729,784 are "one-less".

Cf. A000027, A052383, A067251, A255398, A255430.

cp's OEIS Frontend

A255430 Natural numbers n, not multiples of 10, such that n and n^2 lack the digit 1 in their decimal expansions.

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A255357 Natural numbers n, other than multiples of 10, such that n, n^2 and n^3 lack the digit 1 in their decimal expansion.

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A255431 Numbers n such that integers n through n+6 and their squares all lack the digit 1 in their decimal expansion.

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Author

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Comments

Examples

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