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A060562 Number of ways to color vertices of a 10-gon using <= n colors, allowing rotations and reflections. 1
0, 1, 78, 3210, 53764, 493131, 3037314, 14158228, 53762472, 174489813, 500280022, 1297362462, 3096689388, 6894242719, 14464776522, 28835595048, 54980090320, 100806155433, 178532431326, 306565817266, 512016960084, 834016715763 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..500

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

FORMULA

a(n) = (n^10 + 5*n^6 + 6*n^5 + 4*n^2 + 4*n)/20.

G.f.: x*(58*x^8 + 2425*x^7 + 22645*x^6 + 65521*x^5 + 65737*x^4 + 22579*x^3 + 2407*x^2 + 67*x + 1)/(1-x)^11. [Colin Barker, Jun 12 2012]

PROG

(PARI) a(n)={(n^10 + 5*n^6 + 6*n^5 + 4*n^2 + 4*n)/20} \\ Harry J. Smith, Jul 07 2009

CROSSREFS

Sequence in context: A017794 A035734 A017741 * A004367 A194568 A276177

Adjacent sequences:  A060559 A060560 A060561 * A060563 A060564 A060565

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Apr 12 2001

STATUS

approved

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Last modified January 21 06:14 EST 2021. Contains 340333 sequences. (Running on oeis4.)