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A272134
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a(n) = n*(15*n^2 - 15*n + 4).
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2
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0, 4, 68, 282, 736, 1520, 2724, 4438, 6752, 9756, 13540, 18194, 23808, 30472, 38276, 47310, 57664, 69428, 82692, 97546, 114080, 132384, 152548, 174662, 198816, 225100, 253604, 284418, 317632, 353336, 391620, 432574, 476288, 522852, 572356, 624890, 680544
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OFFSET
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0,2
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LINKS
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FORMULA
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O.g.f.: 2*x*(2 + 26*x + 17*x^2)/(1-x)^4.
E.g.f.: x*(4 + 30*x + 15*x^2)*exp(x).
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4), for n>3.
See page 7 in Brent's paper:
A272357(n) = 2*n^2*a(n) - n*(2*n-1)*a(n-1).
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MATHEMATICA
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Table[n (15 n^2 - 15 n + 4), {n, 0, 40}]
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PROG
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(Magma) [n*(15*n^2-15*n+4): n in [0..40]];
(PARI) vector(100, n, n--; n*(15*n^2 - 15*n + 4)) \\ Altug Alkan, Apr 28 2016
(Python) for n in range(0, 10**3):print(n*(15*n**2-15*n+4), end=", ") # Soumil Mandal, Apr 30 2016
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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