A391993 Expansion of (2*x*(x - 7))/(x - 1)^3.

0, 14, 40, 78, 128, 190, 264, 350, 448, 558, 680, 814, 960, 1118, 1288, 1470, 1664, 1870, 2088, 2318, 2560, 2814, 3080, 3358, 3648, 3950, 4264, 4590, 4928, 5278, 5640, 6014, 6400, 6798, 7208, 7630, 8064, 8510, 8968, 9438, 9920, 10414, 10920, 11438, 11968, 12510

Offset

0,2

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

Formula

a(n) = 6*n^2 + 8*n.

Example

This is the 5th row of A392248, a(n) = floor(5^2/2^2)*n^2 + n*(5^3 - 3*5^2 - 5 + 3*(5 mod 2))/6.

Mathematica

A391993[n_] := n*(6*n + 8); Array[A391993, 50, 0] (* or *)
LinearRecurrence[{3, -3, 1}, {0, 14, 40}, 50] (* Paolo Xausa, Jan 10 2026 *)

Crossrefs

Cf. A392248.

Sequence in context: A181149 A019063 A101740 * A069126 A124707 A126368

Adjacent sequences: A391990 A391991 A391992 * A391994 A391995 A391996

Keyword

nonn,easy

Author

Peter Luschny, Jan 09 2026

Status

approved