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 A075905 Numbers k such that k^5 has k as a substring of its representation. 4
 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 (list; graph; refs; listen; history; text; internal format)
 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 A207506 A343131 Adjacent sequences: A075902 A075903 A075904 * A075906 A075907 A075908 KEYWORD base,nonn AUTHOR Zak Seidov, Sep 27 2002 STATUS approved

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Last modified July 20 20:50 EDT 2024. Contains 374459 sequences. (Running on oeis4.)