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A058985 6 + 33 n + 6 binomial(n, 2) - 28 binomial(n, 3) + 20 binomial(n, 4) - 47 binomial(n, 5). 2
6, 39, 78, 95, 82, 4, -248, -904, -2362, -5235, -10398, -19035, -32686, -53294, -83252, -125450, -183322, -260893, -362826, -494469, -661902, -871984, -1132400, -1451708, -1839386, -2305879, -2862646, -3522207, -4298190, -5205378, -6259756, -7478558 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Obtained by simply fitting a fifth degree polynomial to the terms 6,39,78,95,82,4 (see A058897).

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..200

FORMULA

a(n) = 6 + 94/15*n + 183/4*n^2 - 187/8*n^3 + 19/4*n^4 - 47/120*n^5.

G.f.: (6+3*x-66*x^2+92*x^3-8*x^4-74*x^5)/(1-x)^6. [Colin Barker, Apr 23 2012]

PROG

(PARI) { for (n = 0, 200, a=6 + 33*n + 6*binomial(n, 2) - 28*binomial(n, 3) + 20*binomial(n, 4) - 47*binomial(n, 5); write("b058985.txt", n, " ", a); ) } \\ Harry J. Smith, Jun 24 2009

CROSSREFS

Cf. A058897.

Sequence in context: A080298 A253803 A058897 * A116951 A163737 A220855

Adjacent sequences:  A058982 A058983 A058984 * A058986 A058987 A058988

KEYWORD

sign,easy

AUTHOR

N. J. A. Sloane, Jan 17 2001

STATUS

approved

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Last modified May 7 06:49 EDT 2021. Contains 343636 sequences. (Running on oeis4.)