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A145910
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a(n) = (1 + 3*n)*(4 + 3*n)/2.
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3
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2, 14, 35, 65, 104, 152, 209, 275, 350, 434, 527, 629, 740, 860, 989, 1127, 1274, 1430, 1595, 1769, 1952, 2144, 2345, 2555, 2774, 3002, 3239, 3485, 3740, 4004, 4277, 4559, 4850, 5150, 5459, 5777, 6104, 6440, 6785, 7139, 7502, 7874
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OFFSET
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0,1
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REFERENCES
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R. C. Alperin, A nonlinear recurrence and its relations to Chebyshev polynomials, Fib. Q., 58:2 (2020), 140-142.
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LINKS
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Table of n, a(n) for n=0..41.
Index entries for linear recurrences with constant coefficients, signature (3,-3,1).
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FORMULA
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a(n) = a(n-1) + 3*(3n+1) = a(n-1) + A017197(n+1).
a(n) = 2 + 9/2*n^2 + 15/2*n. - Paolo P. Lava, Oct 28 2008
G.f.: (-2 - 8*x + x^2)/(x-1)^3. - R. J. Mathar, Jan 06 2011
a(n) = A144449(n)/8.
a(n) = 2*a(n-1) - a(n-2) + 9.
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3).
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MAPLE
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A145910:=n->(1+3*n)*(4+3*n)/2: seq(A145910(n), n=0..100); # Wesley Ivan Hurt, Jul 25 2017
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MATHEMATICA
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Table[(1+3n)(4+3n)/2, {n, 0, 50}] (* Harvey P. Dale, Feb 23 2011 *)
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PROG
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(PARI) a(n)=(1+3*n)*(4+3*n)/2 \\ Charles R Greathouse IV, Jun 17 2017
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CROSSREFS
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Cf. A017197, A144449.
Sequence in context: A324043 A230894 A291152 * A128126 A134647 A004117
Adjacent sequences: A145907 A145908 A145909 * A145911 A145912 A145913
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KEYWORD
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nonn,easy
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AUTHOR
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Paul Curtz, Oct 24 2008
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EXTENSIONS
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Terms a(11)-a(42) from Vincenzo Librandi, Nov 17 2009
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STATUS
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approved
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