A115938 - OEIS

A115938

Numbers k such that k^k contains a pandigital substring.

125, 132, 147, 162, 163, 167, 169, 176, 186, 188, 192, 197, 209, 215, 218, 222, 223, 237, 247, 258, 259, 269, 270, 273, 274, 275, 277, 284, 288, 294, 297, 301, 302, 309, 316, 332, 359, 361, 362, 377, 382, 390, 393, 396, 398, 401, 404, 407, 413, 419, 425

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

OFFSET

1,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..3000

EXAMPLE

125^125 = 12994...59(7369285104)69...8125.

MATHEMATICA

Select[Range[450], Length[Select[Partition[IntegerDigits[#^#], 10, 1], Sort[#]=={0, 1, 2, 3, 4, 5, 6, 7, 8, 9}&]]>0&] (* Harvey P. Dale, Oct 18 2024 *)

PROG

(Python)

def haspan(s): return any(len(set(s[i:i+10]))==10 for i in range(len(s)-9))

print([m for m in range(500) if haspan(str(m**m))]) # Michael S. Branicky, Feb 28 2021

CROSSREFS

Cf. A115933, A115934, A115935, A115936, A115937.

Sequence in context: A080538 A104233 A046759 * A126895 A202240 A069656

Adjacent sequences: A115935 A115936 A115937 * A115939 A115940 A115941

KEYWORD

nonn,base

AUTHOR

Giovanni Resta, Feb 06 2006

STATUS

approved