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A001546
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(8*n+1)*(8*n+3)*(8*n+5)*(8*n+7).
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1
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105, 19305, 156009, 606825, 1666665, 3728745, 7284585, 12924009, 21335145, 33304425, 49716585, 71554665, 99900009, 135932265, 180929385, 236267625, 303421545, 383964009, 479566185, 591997545
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Contribution from Jaume Oliver Lafont (joliverlafont(AT)gmail.com), May 30 2010: (Start)
3 divides a(n)
Sum_{k>=0} 1/a(k) = Pi/(96*(2+sqrt(2))) = 0.0095849081719... [Jolley eq. 243] (End)
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REFERENCES
| Jolley, Summation of Series, Dover (1961).
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
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FORMULA
| G.f.: -3*(35+6260*x+20178*x^2+6260*x^3+35*x^4)/(x-1)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 27 2009]
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MATHEMATICA
| Table[Times@@(8n + {1, 3, 5, 7}), {n, 0, 30}] (* From Harvey P. Dale, Jan 09 2011 *)
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PROG
| (PARI) a(n)=(8*n+1)*(8*n+3)*(8*n+5)*(8*n+7) \\ Charles R Greathouse IV, Oct 03 2011
(MAGMA) [(8*n+1)*(8*n+3)*(8*n+5)*(8*n+7): n in [0..20]]; // Vincenzo Librandi, Oct 04 2011
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CROSSREFS
| Sequence in context: A018233 A199519 A082368 * A111647 A145621 A167779
Adjacent sequences: A001543 A001544 A001545 * A001547 A001548 A001549
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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