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A316966
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Same as A316671, except numbering of the squares starts at 0 rather than 1.
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1
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0, 4, 3, 11, 10, 22, 21, 37, 36, 56, 55, 79, 78, 106, 105, 137, 136, 172, 171, 211, 210, 254, 253, 301, 300, 352, 351, 407, 406, 466, 465, 529, 528, 596, 595, 667, 666, 742, 741, 821, 820, 904, 903, 991, 990, 1082, 1081, 1177, 1176, 1276, 1275, 1379, 1378
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OFFSET
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0,2
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COMMENTS
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See A316671 for further information.
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LINKS
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Daniël Karssen, Table of n, a(n) for n = 0..9999
Daniël Karssen, Figure showing the first 6 steps of the sequence
Index entries for linear recurrences with constant coefficients, signature (1,2,-2,-1,1).
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FORMULA
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a(n) = A316671(n+1) - 1.
From Colin Barker, Jul 19 2018: (Start)
G.f.: x*(4 - x + x^3) / ((1 - x)^3*(1 + x)^2).
a(n) = a(n-1) + 2*a(n-2) - 2*a(n-3) - a(n-4) + a(n-5) for n>4. (End)
a(n) = 1 + (n + 2)*(n - (-1)^n)/2. - Bruno Berselli, Jul 19 2018
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MATHEMATICA
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Table[1 + (n + 2) (n - (-1)^n)/2, {n, 0, 60}] (* Bruno Berselli, Jul 19 2018 *)
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PROG
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(PARI) concat(0, Vec(x*(4 - x + x^3) / ((1 - x)^3*(1 + x)^2) + O(x^40))) \\ Colin Barker, Jul 19 2018
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CROSSREFS
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Cf. A316671.
Cf. A128918: it is provided by a(-n-1).
Sequence in context: A005013 A241643 A086564 * A295727 A200073 A080777
Adjacent sequences: A316963 A316964 A316965 * A316967 A316968 A316969
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KEYWORD
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nonn,easy
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AUTHOR
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Daniël Karssen, Jul 17 2018
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STATUS
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approved
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