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A079610
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(5*n+1)*(5*n+3)*(5*n+5).
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1
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15, 480, 2145, 5760, 12075, 21840, 35805, 54720, 79335, 110400, 148665, 194880, 249795, 314160, 388725, 474240, 571455, 681120, 803985, 940800, 1092315, 1259280, 1442445, 1642560, 1860375, 2096640, 2352105, 2627520, 2923635, 3241200, 3580965, 3943680
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OFFSET
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0,1
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REFERENCES
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R. Tijdeman, Some applications of Diophantine approximation, pp. 261-284 of Surveys in Number Theory (Urbana, May 21, 2000), ed. M. A. Bennett et al., Peters, 2003.
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (4,-6,4,-1).
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FORMULA
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Sum_{n>=0} 1/a(n) is transcendental (cf. Tijdeman).
G.f.: 15*(1+28*x+21*x^2)/(1-x)^4. [Colin Barker, Apr 28 2012]
a(n) = 4*a(n-1) -6*a(n-2) +4*a(n-3) -a(n-4). Vincenzo Librandi, Jun 23 2012
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MATHEMATICA
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Times@@@(#+{1, 3, 5}&/@(5*Range[0, 50])) (* From Harvey P. Dale, Jan 01 2011 *)
LinearRecurrence[{4, -6, 4, -1}, {15, 480, 2145, 5760}, 40] (* Vincenzo Librandi, Jun 23 2012
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PROG
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(MAGMA) I:=[15, 480, 2145, 5760]; [n le 4 select I[n] else 4*Self(n-1)-6*Self(n-2)+4*Self(n-3)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Jun 23 2012
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CROSSREFS
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Sequence in context: A005815 A120600 A129892 * A218803 A218198 A208624
Adjacent sequences: A079607 A079608 A079609 * A079611 A079612 A079613
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane, Jan 28 2003
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STATUS
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approved
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