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A083363
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Diagonal of table A083362.
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3
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1, 7, 11, 30, 38, 69, 81, 124, 140, 195, 215, 282, 306, 385, 413, 504, 536, 639, 675, 790, 830, 957, 1001, 1140, 1188, 1339, 1391, 1554, 1610, 1785, 1845, 2032, 2096, 2295, 2363, 2574, 2646, 2869, 2945, 3180, 3260, 3507, 3591, 3850, 3938, 4209, 4301, 4584
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OFFSET
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0,2
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COMMENTS
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A083362 is the square table of least distinct positive integers such that the sum of any two consecutive terms in any row form a square.
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LINKS
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FORMULA
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a(0) = 1; a(2n-1) = 8n^2 - n (n>0); a(2n) = 8n^2 + 3n (n>0).
a(n) = a(n-1)+2*a(n-2)-2*a(n-3)-a(n-4)+a(n-5). - Colin Barker, Sep 26 2014
G.f.: (x^5-x^4-7*x^3-2*x^2-6*x-1) / ((x-1)^3*(x+1)^2). - Colin Barker, Sep 26 2014
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MAPLE
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MATHEMATICA
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Join[{1}, Table[(4 n + 3) (2 n + 1 - (-1)^n)/4, {n, 30}]] (* Wesley Ivan Hurt, Sep 26 2014 *)
LinearRecurrence[{1, 2, -2, -1, 1}, {1, 7, 11, 30, 38, 69}, 50] (* Harvey P. Dale, Oct 04 2023 *)
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PROG
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(PARI) Vec((x^5-x^4-7*x^3-2*x^2-6*x-1)/((x-1)^3*(x+1)^2) + O(x^100)) \\ Colin Barker, Sep 26 2014
(Magma) [(4*n+3)*(2*n+1-(-1)^n)/4+0^n : n in [0..50]]; // Wesley Ivan Hurt, Sep 26 2014
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CROSSREFS
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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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