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A167149
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These numbers are 10000-gonal numbers. The formula for 10000-gonal numbers is a(n) = n + 4999 * n * (n-1).
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1
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1, 10000, 29997, 59992, 99985, 149976, 209965, 279952, 359937, 449920, 549901, 659880, 779857, 909832, 1049805, 1199776, 1359745, 1529712, 1709677, 1899640, 2099601, 2309560, 2529517, 2759472, 2999425, 3249376, 3509325, 3779272
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..28.
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FORMULA
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a(n)=3*a(n-1)-3*a(n-2)+a(n-3). G.f.: x*(1+9997*x)/(1-x)^3. [From R. J. Mathar, Nov 02 2009]
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EXAMPLE
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Example: For n=13 , a(n)=779857
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MAPLE
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P := proc(n, k) n*((k-2)*n-k+4)/2 ; end: A167149 := proc(n) P(n, 10000) ; end: seq(A167149(n), n=1..50) ; [From R. J. Mathar, Nov 02 2009]
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CROSSREFS
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Cf. A057145. [From R. J. Mathar, Nov 02 2009]
Sequence in context: A004270 A168651 A043492 * A017176 A017272 A017512
Adjacent sequences: A167146 A167147 A167148 * A167150 A167151 A167152
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KEYWORD
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nonn
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AUTHOR
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Michael G. Fenner (sidk.20c(AT)gmail.com), Oct 28 2009
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EXTENSIONS
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Edited (but not checked) by N. J. A. Sloane, Nov 01 2009
Sequence extended by R. J. Mathar, Nov 02 2009
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STATUS
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approved
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