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A377663
a(n) = 2*n^3 - 3*n + 1.
1
1, 0, 11, 46, 117, 236, 415, 666, 1001, 1432, 1971, 2630, 3421, 4356, 5447, 6706, 8145, 9776, 11611, 13662, 15941, 18460, 21231, 24266, 27577, 31176, 35075, 39286, 43821, 48692, 53911, 59490, 65441, 71776, 78507, 85646, 93205, 101196, 109631, 118522, 127881, 137720
OFFSET
0,3
FORMULA
a(n) = [x^n] (-2*x^3 + 17*x^2 - 4*x + 1)/(x - 1)^4.
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 3. - Chai Wah Wu, Nov 14 2024
MAPLE
a := n -> 2*n^3 - 3*n + 1: seq(a(n), n = 0..41);
MATHEMATICA
LinearRecurrence[{4, -6, 4, -1}, {1, 0, 11, 46}, 42] (* James C. McMahon, Nov 14 2024 *)
CROSSREFS
Column 3 of A377666.
Sequence in context: A282095 A063158 A081587 * A223834 A359096 A143059
KEYWORD
nonn
AUTHOR
Peter Luschny, Nov 14 2024
STATUS
approved