A075905 - OEIS

%I #19 Apr 04 2024 10:33:57

%S 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,

%T 68,70,73,75,76,80,90,93,99,100,101,125,178,192,193,195,200,205,240,

%U 249,250,251,300,307,320,375,376,400,430,432,443,480,490,499,500,501

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

%H Chai Wah Wu, <a href="/A075905/b075905.txt">Table of n, a(n) for n = 1..1091</a>

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

%o (Python)

%o A075905_list, m = [0], [120, -240, 150, -30, 1, 0]

%o for n in range(1,10**8+1):

%o ....for i in range(5):

%o ........m[i+1] += m[i]

%o ....if str(n) in str(m[-1]):

%o ........A075905_list.append(n) # _Chai Wah Wu_, Nov 05 2014

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

%K base,nonn

%O 1,3

%A _Zak Seidov_, Sep 27 2002