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Search: id:A117597
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| A117597 |
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Padovan numbers for which the sum of the digits is also a Padovan number. |
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+0
1
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| 0, 1, 2, 3, 4, 5, 7, 9, 12, 16, 21, 151, 200, 351, 4410, 73396, 170625, 922111, 1221537, 1618192, 2143648, 35676949, 62608681, 1380359512, 2422362079, 4250949112, 7459895657, 93722435101, 164471408185, 217878227876, 2066337330754
(list; graph; listen)
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OFFSET
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0,3
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EXAMPLE
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The Padovan number 73396 is in the sequence because also 28 (=7+3+3+9+6) is a Padovan number.
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MAPLE
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p[0]:=1: p[1]:=1: p[2]:=1: for n from 3 to 170 do p[n]:=p[n-2]+p[n-3] od: P:=[seq(p[n], n=0..170)]: a:=proc(n) local nn, sod: nn:=convert(P[n], base, 10): sod:=add(nn[j], j=1..nops(nn)): if member(sod, P)=true then P[n] else fi end: 0, 1, seq(a(n), n=5..nops(P)); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 16 2006
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CROSSREFS
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Cf. A000931.
Sequence in context: A039877 A117598 A120149 this_sequence A112639 A117599 A117602
Adjacent sequences: A117594 A117595 A117596 this_sequence A117598 A117599 A117600
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KEYWORD
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nonn,base
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AUTHOR
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Luc Stevens (lms022(AT)yahoo.com), Apr 05 2006
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 16 2006
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