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A024204 [ (3rd elementary symmetric function of S(n))/(2nd elementary symmetric function of S(n)) ], where S(n) = {first n+2 odd positive integers}. 1
0, 2, 4, 6, 10, 14, 19, 24, 30, 37, 44, 53, 61, 71, 81, 92, 103, 115, 128, 141, 156, 170, 186, 202, 219, 236, 254, 273, 292, 313, 333, 355, 377, 400, 423, 447, 472, 497, 524, 550, 578, 606, 635, 664, 694, 725, 756, 789, 821, 855, 889, 924, 959, 995, 1032 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..55.

FORMULA

a(n) = floor[(n^4+5n^3+7n^2+2n)/(3n^2+11n+9)]. - Neven Juric (neven.juric(AT)apis-it.hr), neven.juric(AT)apis-it.hr, May 17 2007

a(n) = floor((n^3+2*n^2)/(3*n+2)). [Gary Detlefs, Jul 13 2010]

Empirical g.f.: x^2*(x^11-2*x^10+2*x^9-x^8-x^7-x^5-2*x^3-2) / ((x-1)^3*(x^2+x+1)*(x^6+x^3+1)). - Colin Barker, Aug 16 2014

PROG

(PARI) a(n) = (n^3+2*n^2)\(3*n+2) \\ Michel Marcus, Aug 16 2014

CROSSREFS

Sequence in context: A098380 A007782 A035501 * A036641 A260732 A062425

Adjacent sequences:  A024201 A024202 A024203 * A024205 A024206 A024207

KEYWORD

nonn,more

AUTHOR

Clark Kimberling

EXTENSIONS

More terms from Michel Marcus, Aug 16 2014

STATUS

approved

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Last modified March 18 16:00 EDT 2019. Contains 321292 sequences. (Running on oeis4.)