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A008358 Crystal ball sequence for D_6 lattice. 4
1, 61, 853, 5577, 23673, 76389, 204205, 476113, 1000753, 1939405, 3520837, 6058009, 9966633, 15785589, 24199197, 36061345, 52421473, 74552413, 103980085, 142515049, 192285913, 255774597, 335853453 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Index entries for crystal ball sequences

J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

FORMULA

G.f.: (1+54*x+447*x^2+852*x^3+447*x^4+54*x^5+x^6)/(1-x)^7. - Colin Barker, Mar 16 2012

MAPLE

116/45*n^6+116/15*n^5+136/9*n^4+52/3*n^3+554/45*n^2+74/15*n+1;

MATHEMATICA

CoefficientList[Series[(1+54x+447x^2+852x^3+447x^4+54x^5+x^6)/(1-x)^7, {x, 0, 30}], x] (* Harvey P. Dale, Jan 23 2019 *)

CROSSREFS

Sequence in context: A232858 A093473 A000506 * A317283 A264306 A138790

Adjacent sequences:  A008355 A008356 A008357 * A008359 A008360 A008361

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane and J. H. Conway

STATUS

approved

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Last modified October 19 21:08 EDT 2019. Contains 328228 sequences. (Running on oeis4.)