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 A141480 Binomial(n+2,3)*5^3. 0
 125, 500, 1250, 2500, 4375, 7000, 10500, 15000, 20625, 27500, 35750, 45500, 56875, 70000, 85000, 102000, 121125, 142500, 166250, 192500, 221375, 253000, 287500, 325000, 365625, 409500, 456750, 507500, 561875, 620000, 682000, 748000, 818125 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA G.f.: 125*x / (1-x)^4. a(n) = C(n+2,3)*5^3, n>=1. a(1)=125, a(2)=500, a(3)=1250, a(4)=2500, a(n)=4*a(n-1)-6*a(n-2)+ 4*a(n-3)- a(n-4). - Harvey P. Dale, Oct 20 2012 MAPLE seq(binomial(n+2, 3)*5^3, n=1..44); MATHEMATICA With[{c=5^3}, c*Binomial[Range[40]+2, 3]] (* Harvey P. Dale, Oct 20 2012 *) LinearRecurrence[ {4, -6, 4, -1}, {125, 500, 1250, 2500}, 40] (* Harvey P. Dale, Oct 20 2012 *) CROSSREFS Sequence in context: A161855 A045184 A059470 * A155986 A128993 A061450 Adjacent sequences:  A141477 A141478 A141479 * A141481 A141482 A141483 KEYWORD nonn AUTHOR Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 09 2008 EXTENSIONS Offset corrected by Harvey P. Dale, Oct 20 2012 STATUS approved

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