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A054624 Number of ways to color vertices of a 10-gon using <= n colors, allowing only rotations. 8
0, 1, 108, 5934, 104968, 976887, 6047412, 28249228, 107377488, 348684381, 1000010044, 2593758618, 6191761368, 13785886387, 28925519364, 57665115096, 109951267744, 201599532153, 357046911756, 613106873542, 1024000320168, 1667988506415, 2655992794708 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

T. D. Noe, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

FORMULA

Sum_{d|10} phi(d)*n^(10/d)/10 = n*(n+1)*(n^8-n^7+n^6-n^5+n^4+4)/10.

G.f.: x*(100*x^8 +4783*x^7 +45547*x^6 +130963*x^5 +131119*x^4 +45469*x^3 +4801*x^2 +97*x+1) / (1-x)^11. - Colin Barker, Jun 12 2012

CROSSREFS

Row 10 of A075195.

Sequence in context: A203028 A138784 A035812 * A147821 A269148 A143403

Adjacent sequences:  A054621 A054622 A054623 * A054625 A054626 A054627

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Apr 16 2000

EXTENSIONS

Edited by Christian G. Bower, Sep 07 2002

STATUS

approved

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Last modified September 21 19:59 EDT 2019. Contains 327282 sequences. (Running on oeis4.)