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Search: id:A117996
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| A117996 |
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Padovan numbers with only odd digits. |
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+0
1
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OFFSET
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1,2
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COMMENT
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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.
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MATHEMATICA
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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 (from Robert G. Wilson v (rgwv(at)rgwv.com), May 04 2006)
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CROSSREFS
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Cf. A000931.
Sequence in context: A119252 A081434 A007632 this_sequence A092046 A085951 A132286
Adjacent sequences: A117993 A117994 A117995 this_sequence A117997 A117998 A117999
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KEYWORD
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base,more,nonn
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AUTHOR
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Luc Stevens (lms022(AT)yahoo.com), May 03 2006
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