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A167149 These numbers are 10000-gonal numbers. The formula for 10000-gonal numbers is a(n) = n + 4999 * n * (n-1). 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..28.

FORMULA

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]

EXAMPLE

Example: For n=13 , a(n)=779857

MAPLE

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]

CROSSREFS

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

KEYWORD

nonn

AUTHOR

Michael G. Fenner (sidk.20c(AT)gmail.com), Oct 28 2009

EXTENSIONS

Edited (but not checked) by N. J. A. Sloane, Nov 01 2009

Sequence extended by R. J. Mathar, Nov 02 2009

STATUS

approved

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Last modified October 31 03:51 EDT 2014. Contains 248845 sequences.