A115935 Numbers k such that 2^k contains a pandigital substring.

105, 136, 137, 237, 268, 275, 336, 397, 409, 418, 423, 426, 456, 457, 486, 530, 540, 541, 585, 620, 674, 675, 693, 727, 787, 791, 792, 809, 831, 848, 853, 864, 881, 936, 939, 945, 946, 955, 967, 974, 983, 1001, 1011, 1020, 1022, 1024, 1029, 1050, 1064

Offset

1,1

Comments

Does a(n) ~ n? - David A. Corneth, Feb 28 2021

Links

David A. Corneth, Table of n, a(n) for n = 1..10000

David A. Corneth, PARI program

Example

2^105 = 40(5648192073)03340847894502572032.

Prog

(PARI) See PARI link \\ David A. Corneth, Feb 28 2021
(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(1065) if haspan(str(2**m))]) # Michael S. Branicky, Feb 28 2021

Crossrefs

Cf. A115933, A115934, A115936, A115937, A115938.

Sequence in context: A253022 A267891 A097217 * A069702 A239589 A203614

Adjacent sequences: A115932 A115933 A115934 * A115936 A115937 A115938

Keyword

nonn,base

Author

Giovanni Resta, Feb 06 2006

Status

approved