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Search: id:A138587
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| A138587 |
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Ordered different numbers of principal "suite en trio" A024495, A131708, A024493,consecutive sequences identical to their third differences. |
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+0
1
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| 0, 1, 2, 3, 5, 6, 10, 11, 21, 22, 42, 43, 85, 86, 170, 171, 341, 342, 682, 683, 1365, 1366, 2730, 2731, 5461, 5462, 10922, 10923, 21845, 21846, 43690, 43691, 87381, 87382, 174762, 174763
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OFFSET
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0,3
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COMMENT
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After 0, 1, last digit gives period 8:repeat 2, 3, 5, 6, 0, 1, 2, 2 .(Non decreasing) ordered octuplet:0, 1, 1, 2, 2, 3, 5, 6.
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FORMULA
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a(2n+1)-a(2n)=1.First bisection:a(2n)= 0, 2, 5, 10, 21, 42, 85, 170=A000975 without 1.Then b(n)=a(2n)=0 before c(n) with c(n)=c(n-1)+2c(n-2)+1, c(0)=2,c(1)=5. Principal sequence : generally p 0's followed by 1 with p+1 steps recurrence.Example: A000045.2007, August 1st,I introduced 0, 0 before ancient A024495 (sequence deleted) and the 5th a third leading 0 before A113405.
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CROSSREFS
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Sequence in context: A000039 A053436 A057546 this_sequence A099350 A008627 A027593
Adjacent sequences: A138584 A138585 A138586 this_sequence A138588 A138589 A138590
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KEYWORD
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nonn,uned
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), May 13 2008
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