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A008388 Crystal ball sequence for A_6 lattice. 5
1, 43, 505, 3067, 12559, 39733, 104959, 242845, 507781, 980407, 1775005, 3047815, 5006275, 7919185, 12127795, 18057817, 26232361, 37285795, 51978529, 71212723, 96048919, 127723597, 167667655 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Partial sums of A008387.

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).

FORMULA

a(n) = 1+7*n*(n+1)*(n^2+n+3)*(11*n^2+11*n+14)/60. - T. D. Noe, Apr 29 2007

G.f.: (1+36*x+225*x^2+400*x^3+225*x^4+36*x^5+x^6)/(1-x)^7. [Colin Barker, Mar 15 2012]

PROG

(Maxima) A008388[n]:=1+7*n*(n+1)*(n^2+n+3)*(11*n^2+11*n+14)/60$

makelist(A008388[n], n, 0, 30); /* Martin Ettl, Oct 26 2012 */

CROSSREFS

Sequence in context: A184153 A184145 A238202 * A241939 A251896 A060888

Adjacent sequences:  A008385 A008386 A008387 * A008389 A008390 A008391

KEYWORD

nonn,easy

AUTHOR

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

STATUS

approved

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Last modified January 18 23:05 EST 2019. Contains 319282 sequences. (Running on oeis4.)