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A064064
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n-th step is to add a(n) to each previous number a(k) (including itself, i.e. k<=n) to produce n+1 more terms of the sequence, starting with a(0)=1.
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3
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1, 2, 3, 4, 4, 5, 6, 5, 6, 7, 8, 5, 6, 7, 8, 8, 6, 7, 8, 9, 9, 10, 7, 8, 9, 10, 10, 11, 12, 6, 7, 8, 9, 9, 10, 11, 10, 7, 8, 9, 10, 10, 11, 12, 11, 12, 8, 9, 10, 11, 11, 12, 13, 12, 13, 14, 9, 10, 11, 12, 12, 13, 14, 13, 14, 15, 16, 6, 7, 8, 9, 9, 10, 11, 10, 11, 12, 13, 10, 7, 8, 9, 10, 10
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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EXAMPLE
| Start with (1). So after initial step have (*1*,1+1=2), then (1,*2*,1+2=3,2+2=4), then (1,2,*3*,4,1+3=4,2+3=5,3+3=6), then (1,2,3,*4*,4,5,6,1+4=5,2+4=6,3+4=7,4+4=8), then (1,2,3,4,*4*,5,6,5,6,7,8,1+4=5,2+4=6,3+4=7,4+4=8,4+4=8) etc.
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CROSSREFS
| Each number eventually appears A001190 times (binary rooted trees can be constructed by combining earlier trees in a similar manner with the n-th tree having a(n) end points). Cf. A064065, A064066, A064067.
Sequence in context: A051898 A092032 A058222 * A101504 A125568 A108872
Adjacent sequences: A064061 A064062 A064063 * A064065 A064066 A064067
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KEYWORD
| nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Aug 31 2001
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