A115936 Numbers k such that k! contains a pandigital substring.

53, 67, 78, 105, 106, 114, 156, 160, 161, 164, 192, 205, 215, 220, 222, 225, 236, 243, 251, 257, 268, 278, 279, 282, 287, 306, 320, 338, 343, 345, 353, 367, 377, 386, 395, 398, 408, 409, 420, 423, 434, 443, 444, 448, 451, 455, 458, 459, 463, 467, 468, 469

Offset

1,1

Links

Table of n, a(n) for n=1..52.

Example

53! = 42748832840600255(6429801375)3389399649690343788366813724672000000000000.

Mathematica

Select[Range[500], Count[Sort/@Partition[IntegerDigits[#!], 10, 1], Range[ 0, 9]]>0&] (* Harvey P. Dale, May 23 2017 *)

Prog

(Python)
from math import factorial
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(factorial(m)))]) # Michael S. Branicky, Feb 28 2021

Crossrefs

Cf. A115933, A115934, A115935, A115937, A115938.

Sequence in context: A061946 A039531 A369101 * A182571 A034965 A363188

Adjacent sequences: A115933 A115934 A115935 * A115937 A115938 A115939

Keyword

nonn,base

Author

Giovanni Resta, Feb 06 2006

Status

approved