A045574 - OEIS

A045574

Numbers that are still numbers when turned upside down (uses only digits 0, 1, 6, 8, 9 with no final 0's).

0, 1, 6, 8, 9, 11, 16, 18, 19, 61, 66, 68, 69, 81, 86, 88, 89, 91, 96, 98, 99, 101, 106, 108, 109, 111, 116, 118, 119, 161, 166, 168, 169, 181, 186, 188, 189, 191, 196, 198, 199, 601, 606, 608, 609, 611, 616, 618, 619, 661, 666, 668, 669, 681, 686, 688, 689, 691, 696, 698, 699

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

"No final 0's" means that the rotated number should not have leading zeros; the single digit of the number 0 itself is not considered as such.

LINKS

Paolo Xausa, Table of n, a(n) for n = 1..12501 (all terms < 10^6; terms 1..2501 from Michel Marcus).

Index entries for sequences related to final digits of numbers

MATHEMATICA

A045574list[k_] := Flatten[{#, Table[Map[FromDigits, Tuples[Join[{Rest[#]}, Table[#, d-2], {Rest[#]}]]], {d, 2, k}]}] & [{0, 1, 6, 8, 9}]; (* Generates all terms < 10^k *)

A045574list[3] (* Paolo Xausa, Feb 05 2026 *)

PROG

(PARI) is_A045574(n)=n%10 & !setminus(Set(Vec(Str(n))), Vec("01689")) || !n \\ M. F. Hasler, May 04 2012

CROSSREFS

Cf. A000787, A018847, A054047, A057770.

Sequence in context: A001746 A025070 A123704 * A074284 A125736 A030725

Adjacent sequences: A045571 A045572 A045573 * A045575 A045576 A045577

KEYWORD

base,easy,nonn

AUTHOR

Erich Friedman

EXTENSIONS

More terms from Michel Marcus, Dec 27 2020

STATUS

approved