A244358 Numbers n such that n, n+1, n+2, and n+3 are not divisible by any of their nonzero digits.

56, 506, 556, 586, 596, 656, 667, 757, 787, 857, 866, 867, 956, 976, 977, 5056, 5066, 5096, 5506, 5666, 5756, 5776, 5876, 5906, 5986, 5996, 6056, 6067, 6506, 6697, 6986, 7057, 7556, 7576, 7597, 7757, 7786, 7787, 7876, 7897, 7906, 7976, 7996, 8066, 8067, 8506, 8596, 8666, 8697

Offset

1,1

Comments

This is a subsequence of A244357.

All numbers end in a 6 or 7.

Links

Table of n, a(n) for n=1..49.

Example

56, 57, 58, and 59 are not divisible by any of their digits. Thus, 56 is a member of this sequence.

Prog

(Python)
def a(n):
..for i in range(10**4):
....tot = 0
....for k in range(i, i+n):
......c = 0
......for b in str(k):
........if b != '0':
..........if k%int(b)!=0:
............c += 1
......if c == len(str(k))-str(k).count('0'):
........tot += 1
....if tot == n:
......print(i, end=', ')
a(4)

Crossrefs

Cf. A038772, A237766, A244357.

Sequence in context: A220048 A257707 A067234 * A219832 A219576 A219943

Adjacent sequences: A244355 A244356 A244357 * A244359 A244360 A244361

Keyword

nonn,base

Author

Derek Orr, Jun 26 2014

Status

approved