A083118 Index of zeros in A083116 and A083117.

10, 16, 20, 25, 30, 32, 40, 48, 50, 60, 64, 70, 75, 80, 90, 96, 100, 110, 112, 120, 125, 128, 130, 140, 144, 150, 160, 170, 175, 176, 180, 190, 192, 200, 208, 210, 220, 224, 225, 230, 240, 250, 256, 260, 270, 272, 275, 280, 288, 290, 300, 304, 310, 320, 325, 330, 336, 340

Offset

1,1

Comments

Numbers that do not divide a number obtained by concatenating a single digit any number of times.

Numbers divisible by either 10 or 16 or 25. - Karl-Heinz Hofmann, Nov 02 2023

The asymptotic density of this sequence is 17/100. - Amiram Eldar, May 21 2026

Links

Karl-Heinz Hofmann, Table of n, a(n) for n = 1..10000

Amarnath Murthy, On the Divisors of Smarandache Unary Sequence, Smarandache Notions Journal, Vol. 11, No. 1-2-3 (Spring 2000), pp. 184-185.

Index entries for linear recurrences with constant coefficients, signature (2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -1).

Mathematica

Union @@ Range[#, 500, #] & [{10, 16, 25}] (* Paolo Xausa, May 19 2026 *)

Prog

(Python)
print([n for n in range(2, 1000) if not n % 10 or not n % 16 or not n % 25])
# Karl-Heinz Hofmann, Nov 02 2023

Crossrefs

Cf. A083116, A083117.

Sequence in context: A004260 A129848 A004261 * A378895 A238204 A242057

Adjacent sequences: A083115 A083116 A083117 * A083119 A083120 A083121

Keyword

base,easy,nonn

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 23 2003

Extensions

Data section corrected and more terms from Karl-Heinz Hofmann, Nov 02 2023

Status

approved