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 A287793 Eight steps forward, seven steps back. 3
 0, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 2, 3, 4, 5, 6, 7, 8, 9, 8, 7, 6, 5, 4, 3, 2, 3, 4, 5, 6, 7, 8, 9, 10, 9, 8, 7, 6, 5, 4, 3, 4, 5, 6, 7, 8, 9, 10, 11, 10, 9, 8, 7, 6, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 10, 9, 8, 7, 6, 5, 6, 7, 8, 9, 10, 11 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1). FORMULA a(n) = Sum_{i=1..n} (-1)^floor((2*i-2)/15). a(n) = a(n-1) + a(n-15) - a(n-16) for n > 15. MAPLE A287793:=n->add((-1)^floor((2*i-2)/15), i=1..n): seq(A287793(n), n=0..200); MATHEMATICA Table[Sum[(-1)^Floor[(2 i - 2)/15], {i, n}], {n, 0, 100}] CROSSREFS 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). Sequence in context: A325351 A279319 A171890 * A073795 A017893 A017883 Adjacent sequences:  A287790 A287791 A287792 * A287794 A287795 A287796 KEYWORD nonn,easy AUTHOR Wesley Ivan Hurt, May 31 2017 STATUS approved

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Last modified January 26 23:05 EST 2020. Contains 331289 sequences. (Running on oeis4.)