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Search: id:A024191
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A024191 [ (3rd elementary symmetric function of 3,4,...,n+4)/(3+4+...+n+4) ]. +0
3
5, 19, 47, 95, 170, 280, 434, 642, 915, 1265, 1705, 2249, 2912, 3710, 4660, 5780, 7089, 8607, 10355, 12355, 14630, 17204, 20102, 23350, 26975, 31005, 35469, 40397, 45820, 51770, 58280, 65384, 73117, 81515, 90615, 100455, 111074, 122512, 134810, 148010 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n) =n*(n+1)*(n^2+13n+46)/24 =a(n-1)+A005586(n). - Henry Bottomley (se16(AT)btinternet.com), Oct 25 2001

G.f.: x*(5-6*x+2*x^2)/(1-x)^5.

CROSSREFS

a(n)=A115127(n+2, 3), n>=2.

Adjacent sequences: A024188 A024189 A024190 this_sequence A024192 A024193 A024194

Sequence in context: A020580 A045458 A120289 this_sequence A100104 A015650 A055365

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified October 10 20:39 EDT 2008. Contains 144831 sequences.


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