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A001505
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(4n+1)(4n+2)(4n+3).
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1
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6, 210, 990, 2730, 5814, 10626, 17550, 26970, 39270, 54834, 74046, 97290, 124950, 157410, 195054, 238266, 287430, 342930, 405150, 474474, 551286, 635970, 728910, 830490, 941094, 1061106, 1190910, 1330890, 1481430, 1642914, 1815726, 2000250, 2196870, 2405970
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Sum[n=0..inf, 1/a(n)] = log(2)/4 = 0.17328679513998.. [Jolley eq. 253. Typo in comment fixed by Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Jan 09 2009]
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REFERENCES
| Jolley, Summation of Series, Dover (1961)
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (4,-6,4,-1)
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FORMULA
| G.f. 6*(1+x)*(x^2+30*x+1) / (x-1)^4 . - R. J. Mathar, Apr 02 2011
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MATHEMATICA
| Table[(4n+1)(4n+2)(4n+3), {n, 0, 49}] (* From Vladimir Joseph Stephan Orlovsky, Jan 22 2012 *)
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PROG
| (MAGMA) [(4*n+1)*(4*n+2)*(4*n+3): n in [0..100]]; - Vincenzo Librandi, Apr 04 2011
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CROSSREFS
| Equals 6 * A015219.
Sequence in context: A068969 A055193 A094805 * A084694 A065945 A076715
Adjacent sequences: A001502 A001503 A001504 * A001506 A001507 A001508
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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