A117996 Padovan numbers with only odd digits.

1, 3, 5, 7, 9, 37, 151, 351, 7739, 17991

Offset

1,2

Comments

Checked to a(10^5) which is a 12212 digit number and found no other terms. The even digited Padovan numbers are even fewer: 0, 2, 4, 28, 86 & 200. Probably both sequences are finite. - Robert G. Wilson v, May 04 2006.

Links

Table of n, a(n) for n=1..10.

Mathematica

a[0] = 1; a[1] = a[2] = 0; a[n_] := a[n] = a[n - 2] + a[n - 3]; lst = {}; Do[ If[ Union@ Join[{1, 3, 5, 7, 9}, IntegerDigits@a[n]] == {1, 3, 5, 7, 9}, Print@a[n]; AppendTo[lst, a[n]]], {n, 10^6}]; Union@lst (* Robert G. Wilson v, May 04 2006 *)

Crossrefs

Cf. A000931.

Sequence in context: A141708 A081434 A007632 * A234524 A260681 A092046

Adjacent sequences: A117993 A117994 A117995 * A117997 A117998 A117999

Keyword

base,nonn

Author

Luc Stevens (lms022(AT)yahoo.com), May 03 2006

Status

approved