A075905 Numbers k such that k^5 has k as a substring of its representation.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 18, 20, 24, 25, 30, 32, 40, 43, 45, 48, 49, 50, 51, 57, 60, 68, 70, 73, 75, 76, 80, 90, 93, 99, 100, 101, 125, 178, 192, 193, 195, 200, 205, 240, 249, 250, 251, 300, 307, 320, 375, 376, 400, 430, 432, 443, 480, 490, 499, 500, 501

Offset

1,3

Links

Chai Wah Wu, Table of n, a(n) for n = 1..1091

Example

45^5 = 18_45_28125, 3637^5 = 6_3637_9975073041957, 3975^5 = 992_3975_07802734375.

Prog

(Python)
A075905_list, m = [0], [120, -240, 150, -30, 1, 0]
for n in range(1, 10**8+1):
....for i in range(5):
........m[i+1] += m[i]
....if str(n) in str(m[-1]):
........A075905_list.append(n) # Chai Wah Wu, Nov 05 2014

Crossrefs

Cf. A018834 (squares), A029942 (cubes), A075904 (4th powers).

Sequence in context: A023765 A032906 A349484 * A321767 A377477 A379927

Adjacent sequences: A075902 A075903 A075904 * A075906 A075907 A075908

Keyword

base,nonn

Author

Zak Seidov, Sep 27 2002

Status

approved