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A131211 a(n)=(n^5-n-30)/30. 0
-1, -1, 0, 7, 33, 103, 258, 559, 1091, 1967, 3332, 5367, 8293, 12375, 17926, 25311, 34951, 47327, 62984, 82535, 106665, 136135, 171786, 214543, 265419, 325519, 396044, 478295, 573677, 683703, 809998, 954303, 1118479, 1304511, 1514512, 1750727, 2015537, 2311463, 2641170, 3007471, 3413331 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

All numbers generated by the polynomial x^5-x-1 (see A126426) are congruent to 29 mod 30. The polynomial n^5-n-30 factors as (n-2)(n^4+2n^3+4n^2+8n+15)

LINKS

Table of n, a(n) for n=0..40.

FORMULA

a(n) = ((n^5 - n - 1) - 29)/30

G.f.: (-1+5*x-9*x^2+12*x^3-4*x^4+x^5)/(-1+x)^6. - R. J. Mathar, Nov 14 2007

MATHEMATICA

Table[((n^5 - n - 1) - 29)/30, {n, -1, 100}]

CROSSREFS

Cf. A126426, A134326, A134327.

Sequence in context: A051895 A168574 A212106 * A213131 A100855 A256860

Adjacent sequences:  A131208 A131209 A131210 * A131212 A131213 A131214

KEYWORD

sign

AUTHOR

Artur Jasinski, Oct 20 2007, Nov 15 2007

STATUS

approved

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Last modified May 26 10:07 EDT 2019. Contains 323579 sequences. (Running on oeis4.)