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LinearRecurrence[{2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1}, {0, 0, 0, 0, 0, 1, 2, 2, 3, 4, 6, 7, 8, 10, 12, 14, 16}, 63] (* _Georg Fischer_, Aug 15 2021 *)
0, 0, 0, 0, 1, 2, 2, 3, 4, 6, 7, 8, 10, 12, 14, 16}, 63] (* Georg Fischer, Aug 15 2021 *)
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0, 0, 0, 0, 1, 2, 2, 3, 4, 6, 7, 8, 10, 12, 14, 16}, 63] (* _Georg Fischer_, Aug 15 2021 *)
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a(n) = floor(n*(n-1)/15).
From _R. J. Mathar, _, Apr 15 2010: (Start)
G.f.: x^5 *(1+x^2 *(-1+x *(1+x^2 *(1+x *(-1+x^2))))))/(1+x *(-2+x *(1+x^13 *(-1+(2-x) *x)))). (End)
LinearRecurrence[{2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1}, {0,
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[ a(n) = floor(n(n-1)/15 ]).
0, 0, 0, 0, 0, 1, 2, 2, 3, 4, 6, 7, 8, 10, 12, 14, 16, 18, 20, 22, 25, 28, 30, 33, 36, 40, 43, 46, 50, 54, 58, 62, 66, 70, 74, 79, 84, 88, 93, 98, 104, 109, 114, 120, 126, 132, 138, 144, 150, 156, 163, 170, 176, 183, 190, 198, 205, 212, 220, 228, 236, 244, 252
<a href="/index/Rec#order_17">Index entries for linear recurrences with constant coefficients</a>, order 17signature (2,-1,0,0,0,0,0,0,0,0,0,0,0,0,1
From R. J. Mathar, Apr 15 2010: (Start)
a(n) = +2*a(n-1) - a(n-2) + a(n-15) - 2*a(n-16) + a(n-17). [From _R. J. Mathar_, Apr 15 2010]
G.f.: x^5 (1+x^2 (-1+x (1+x^2 (1+x (-1+x^2))))))/(1+x (-2+x (1+x^13 (-1+(2-x) x))). (End)
LinearRecurrence[{2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1}, {0,
0, 0, 0, 0, 1, 2, 2, 3, 4, 6, 7, 8, 10, 12, 14, 16}, 63] (* Georg Fischer_, Aug 15 2021 *)
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