A363288 a(n) = (2*n^3 - n^2 + 3*n - 2)/2.
1, 8, 26, 61, 119, 206, 328, 491, 701, 964, 1286, 1673, 2131, 2666, 3284, 3991, 4793, 5696, 6706, 7829, 9071, 10438, 11936, 13571, 15349, 17276, 19358, 21601, 24011, 26594, 29356, 32303, 35441, 38776, 42314, 46061, 50023, 54206, 58616, 63259, 68141, 73268, 78646, 84281
Offset: 1
Links
- Winston de Greef, Table of n, a(n) for n = 1..10000
- Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).
Programs
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Magma
[(2*n^3 - n^2 + 3*n - 2)/2 : n in [1..50]];
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Mathematica
Table[(2 n^3 - n^2 + 3 n - 2)/2, {n, 100}] LinearRecurrence[{4, -6, 4, -1}, {1, 8, 26, 61}, 50] -
PARI
a(n) = n^3 - 1 + (-n^2 + 3*n)/2 \\ Winston de Greef, Jun 01 2023
Formula
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).
a(n) = A162264(n-1) + 1 for n >= 2. - Hugo Pfoertner, Jun 02 2023
G.f.: x*(1 - 5*x + 2*x^2 - 4*x^3)/(1 - x)^4. - Stefano Spezia, Jun 03 2023
Comments