A329809 Numbers k such that floor(k/10)^(k mod 10) contains the digit (k mod 10).

11, 26, 37, 39, 46, 52, 55, 56, 57, 59, 66, 67, 69, 73, 74, 76, 78, 84, 86, 87, 95, 97, 99, 101, 111, 112, 113, 114, 115, 116, 117, 118, 119, 121, 128, 129, 131, 136, 137, 138, 139, 141, 144, 145, 146, 148, 151, 152, 153, 155, 156, 157, 158, 159, 161, 162, 165, 166, 169, 171, 172, 173, 175

Offset

1,1

Comments

Or: Numbers k such that A059995(k)^A010879(k) contains the last digit of k, A010879(k).

It's easy to see that all numbers ending in {11, 37, 46, 52, 55, 59, 66, 69, 73, 97, 99} are in the sequence: for these, A059995(k)^A010879(k) mod 100 = (1, 87, 96, 25, 25, 25, 56, 96, 43, 69, 89).

Links

Table of n, a(n) for n=1..63.

M. F. Hasler, in reply to Éric Angelini, 2019 must be read here as 201^9, SeqFan list, Nov. 21, 2019.

Prog

(PARI) select( t->setsearch(Set(digits((t\10)^(t%10))), t%10), [0..9999])

Crossrefs

Cf. A059995 (floor(n/10): drop final digit), A010879 (n mod 10; final digit of n).

Sequence in context: A251268 A174223 A247466 * A190684 A354383 A002154

Adjacent sequences: A329806 A329807 A329808 * A329810 A329811 A329812

Keyword

nonn,base

Author

Eric Angelini and M. F. Hasler, Nov 21 2019

Status

approved