A096105 Numbers such that every digit is a multiple of the digit to its left.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 24, 26, 28, 30, 33, 36, 39, 40, 44, 48, 50, 55, 60, 66, 70, 77, 80, 88, 90, 99, 100, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 122, 124, 126, 128, 130, 133, 136, 139, 140, 144, 148

Offset

1,2

Comments

The number of n-digit terms is (n^4+22n^3+95n^2+98n)/24. - David Wasserman

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Maple

for i from 1 to 9 do g(i):= [seq(t, t=0..9, i)] od: g(0):= [0]:
A[1]:= [$1..9]:
for d from 2 to 4 do A[d]:= map(t -> op(10*t+~g(t mod 10)), A[d-1]) od:
map(op, [seq(A[d], d=1..4)]); # Robert Israel, Sep 01 2019

Crossrefs

Cf. A096106.

Sequence in context: A247756 A032520 A034837 * A178157 A246083 A246090

Adjacent sequences: A096102 A096103 A096104 * A096106 A096107 A096108

Keyword

base,easy,nonn

Author

Amarnath Murthy, Jun 26 2004

Extensions

Edited by David Wasserman, Dec 28 2005

Status

approved