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A373234
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Relative of Hofstadter Q-sequence: a(n) = max(0, n+196) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0.
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7
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6, 197, 198, 199, 9, 200, 201, 202, 12, 203, 204, 205, 15, 206, 207, 17, 209, 18, 209, 211, 212, 22, 21, 403, 397, 9, 18, 412, 415, 205, 22, 226, 231, 209, 27, 36, 233, 402, 200, 39, 234, 240, 204, 42, 236, 243, 16, 235, 243, 223, 40, 235, 55, 416, 212, 46, 245, 256, 25, 38, 58, 835, 406, 200, 61, 71, 455, 394, 194, 72, 268, 270, 7, 457, 395
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OFFSET
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1,1
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COMMENTS
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Sequences like this are more naturally considered with the first nonzero term in position 1. But this sequence would then match A000027 for its first 196 terms.
This sequence has exactly 223 terms (of positive index). a(223) = 0, so an attempt to calculate a(224) would refer to itself.
Without the convention that a(n) = 0 for n <= -196, this sequence would have exactly 24 terms (of positive index), since computing a(25) refers to a(-378).
If 196 in this sequence's definition is replaced by any larger number congruent to 0 mod 7, the behavior is essentially the same, though the quasilinear part (see Formula section) lasts longer.
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LINKS
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FORMULA
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If the index is between 67 and 195 (inclusive), then a(7n) = 7n+2, a(7n+1) = 7n+198, a(7n+2) = 7n+200, a(7n+3) = 7, a(7n+4) = 2n+437, a(7n+5) = n+385, a(7n+6) = 194.
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CROSSREFS
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KEYWORD
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nonn,fini,full
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AUTHOR
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STATUS
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approved
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