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A287794
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Nine steps forward, eight steps back.
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1
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 9, 8, 7, 6, 5, 4, 3, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 10, 9, 8, 7, 6, 5, 4, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 10, 9, 8, 7, 6, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 12, 11, 10
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refs;
listen;
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internal format)
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OFFSET
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0,3
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1).
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FORMULA
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a(n) = Sum_{i=1..n} (-1)^floor((2*i-2)/17).
a(n) = a(n-1) + a(n-17) - a(n-18) for n > 17.
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MAPLE
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a:=n->add((-1)^floor((2*i-2)/17), i=1..n): seq(a(n), n=0..200);
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MATHEMATICA
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Table[Sum[(-1)^Floor[(2 i - 2)/17], {i, n}], {n, 0, 100}]
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CROSSREFS
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Cf. A008611 (one step back, two steps forward).
Cf. A058207 (three steps forward, two steps back).
Cf. A260644 (four steps forward, three steps back).
Cf. A271800 (five steps forward, four steps back).
Cf. A271859 (six steps forward, five steps back).
Cf. A287655 (seven steps forward, six steps back).
Cf. A287793 (eight steps forward, seven steps back).
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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