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A035329
a(n) = n*(2*n+5)*(2*n+7).
0
0, 63, 198, 429, 780, 1275, 1938, 2793, 3864, 5175, 6750, 8613, 10788, 13299, 16170, 19425, 23088, 27183, 31734, 36765, 42300, 48363, 54978, 62169, 69960, 78375, 87438, 97173, 107604, 118755, 130650, 143313, 156768, 171039, 186150, 202125, 218988, 236763
OFFSET
0,2
REFERENCES
Eric Harold Neville, Jacobian Elliptic Functions, 2nd ed., p. 38.
FORMULA
From Wesley Ivan Hurt, Oct 05 2020: (Start)
a(n) = 4*n^3 + 24*n^2 + 35*n.
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).
G.f.: 3*x*(21-18*x+5*x^2)/(1-x)^4. (End)
MATHEMATICA
Table[n*(2*n + 5)*(2*n + 7), {n, 0, 60}] (* Wesley Ivan Hurt, Oct 05 2020 *)
PROG
(Magma) [n*(2*n+5)*(2*n+7) : n in [0..60]]; // Wesley Ivan Hurt, Oct 05 2020
(PARI) a(n)=n*(2*n+5)*(2*n+7) \\ Charles R Greathouse IV, Oct 18 2022
CROSSREFS
Sequence in context: A156527 A199850 A055811 * A097973 A038644 A083079
KEYWORD
nonn,easy
EXTENSIONS
More terms from Sean A. Irvine, Oct 05 2020
STATUS
approved